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Syllabus

root 6 plus root 6 till infinity is equal to

form a quadratic polynomial whose zeroes are 4 and 6

If alpha and beta are zeroes of the polynomial x

^{2}- 6x + a.Find the value of a if 3alpha + 2beta = 20^{2}–p(x+1) - c such that (α+1)(β+1) = 0, then find the value of c.If alpha and beta are the zeros of polynomial x

^{2 }- 5x + k such that alpha-beta=1. find the value of k ......If α and β are the zeros of the quadratic polynomial f(x) = x2 - px + q, prove that a2/b2 + b2/a2 = p4/q2 - 4p2/q + 2Given that

αandβare the zeroes of the quadratic polynomialf(x) =x^{2}–px+qIn the given solution how did (a^{2}+ b^{2})^{2}- 2a^{2}b^{2}/ a^{2}b^{2 }changed into [(a + b)^{2}- 2ab ]^{2 }- 2(ab)^{2}/ (ab)^{2}i didnt understand how -2a^{2}b^{2}/ a^{2}b^{2 }change to^{}- 2(ab)^{2}/ (ab)^{2 }bcoz a^{2}b^{2}and (ab)^{2}are two different things. I guess !!i m confused..plzz help...If the polynomial x

^{4}- 6x^{3}+ 16x^{2}- 25x + 10 is divided by another polynomial x^{2}- 2x + k, the remainder comes out to be x + a, find the values of k and a.to draw the graph of a quadratic polynomial and observe

(i) the shape of the curve when the co-efficient ofx square is positive and (ii) same when its negative

Find ' k ' so that ( x

^{2}+2x+k ) is a factor of ( 2x^{4}+ x^{3}- 14x^{2}+ 5x + 6 ). Also find all the zeroes of both the polynomials.Find the quadratic polynomial whose sum and product of the zeroes are 21/8 and 5/16 respectively

If one zero of the quadratic polynomial f(x) = 4x

^{2}- 8kx - 9 is negative of the other, find the value of k.1. If one zero of the polynomial ( a

^{2}+ 9 ) x^{2}+ 13x +6a is a reciprocal of the other, find the values of a. Also find the polynomial..2. Factorise p(x) = x

^{3}- 3x^{2}- 9x - 5 .3. If a and b are the zeroes of the quadratic polynomial f (x) = x

^{2}- p(x+1) - c, show that (a+1) (b+1) = 1 - c .4. The polynomial ax

^{3}+ bx^{2}+ x -6 has (x+2) as a factor and leaves a remainder 4 when divided by (x-2). Find 'a' and 'b' .5. If the polynomial x

^{4}- 6x^{3}+ 16x^{2}- 25x +10 is divided by another polynomial x^{2}- 2x + k , the remainder comes out to be x+a . Find k and a .6. Find the zeroes of the polynomial f(x) = x

^{3}- 5x^{2}- 16x + 80 , if its two zeroes are equal in magnitude but opposite in sign.$Q.P\left(x\right)={x}^{2}+2\sqrt{2}x-6$

If two zeroes of the polynomial p(x) = x

^{4}- 6x^{3}-26x^{2}+138x -35 are 2+root 3, find the other zeroes.The given figure shows the graph of polynomial k

_{1}x^{2}+ k_{2}x 15.find the value of K1 k2

If alpha and beta are the zeroes of the polynomial f(x) = ax

^{2}+ bx + c, then evaluate1)alpha

^{2}+ beta^{2}2)alpha/beta + beta/alpha

3)alpha

^{3}+ beta^{3}4)1/alpha

^{3}+ 1/beta^{3}5)alpha

^{2}/beta + beta^{2}/alphaplease help mee...

expert again don't post the similar question link the one u posted earlier was not at all the answer :(

(a) 25 X+5Xsquare(b) Xsquare-7X + 12 (c) 100 Xsquare-81

If alpha and beta are the zeroes of the quadratic polynomial f(x) = x

^{2}- px + q, prove that alpha^{2}/beta^{2}+ beta^{2}/alpha^{2}= p^{4}/q^{2}- 4p^{2}/q + 2.if the product of two of the zeroes of the polynomial 2x

^{3}-9x^{2}+13x-6 is 2, the third zero of the polynomial is :-Find all the zeros of 2x

^{4}-9x^{3}+5x^{2}+3x-1 if two its zeros are 2+ root 3, 2- root 3 pls answer with explanation^{(x)}=x^{4}+2x^{3}-2x^{2}+x-1 so that the resulting polynomial is excatly divisible by x^{2}+2x-3?^{2}-7.^{3}+x^{2}-6x-3, if 2 of its zero's are minus root 3 and root 3.^{2}=5x=6 and verify the relationship between the zero's and the co-efficient.^{2}-2x-8,then form a quadratic polynomial whose zero's are 2alphaand 2beta.Formulae for alpha square plus beta square

The number of positive integral solution of 2x + 3y = 763 is

1) 125

2) 126

3) 127

4) 128

Plz answer with explanation !!

Given that root 2 is a zero of the cubic polynomial 6x3 + root2 x2 – 10x – 4 root2 , find

if a and b are the zeroes of the quadratic polynomial x

^{2}-px+q then find the value of(i) a

^{2}+b^{2}(ii) 1/a + 1/b

If alpha and beta are zeros of a polynomial ax

^{2}+bx+c then evaluate alpha-beta.If alpha and beta are zeros of quadratic polynomial f(x)=x

^{2}-2x+3 find polynomial whose roots are alpha+2,Beta+2If alpha and beta are the zeros of quadratic polynomal 2x2-5x+7 , find a polynomial whose zeros are 3alpha+2beta and 2alpha+3beta

Case Study Based:

Parabola: A parabola is the graph thatresults from plx) = ax

^{2}+ bx^{2}+cParabola is symmetric about a vertical

line which is called axls of symmetry

The axis of symmetry runs through the maximum and minimum point of the

parabola which is called the vertex.

(a) lf the suspension bridge is represented by x

^{2}-2x-3, then it's zeroes are:(i)2,-1 (ii)3,-1

(iii)-1,-3 (iv)-1,4

(b)lf the suspension bridge is represented graphically, .then the number of zeroes of quadratic equation of parabolic cable is equal to the number of points where the graph of cable:

(i) intersect y-axis (ii) intersects x-axis

(iii)either x-axis or y-axis (iv)none of these

(c) The cable of suspension bridge is represented graphically as shown in the given figure.

Find the number of its zeroes

(i)1 (ii)0

(iii)2 (iv)3

(d) Graph of a quadratic polynomial is a

(i)straight line (ii)circle

(iii)parabola (iv)ellipse

e) The representation of cables of suspension bridge whose one zero is 5 and sum of the zeroes is 0, is

(i)x

^{2 }- 5x + 25 (ii) x^{2 }- 25(iii)x

^{2 }- 5 (iv) x^{2 }- √5If the polynomial 6x4 + 8x3 + 17x2 + 21x + 7 is divided by another polynomial 3x2 + 4x + 1, the remainder comes out to be (ax + b), find a and b.

Given that x – root 5 is a factor of the cubic polynomial x3 – 3 root5x2 + 13x – 3 root5 ,

Obtain all the zeroes of x

^{4}-7x^{3}+ 17x^{2}- 17x + 6, if two of its zeroes are 3 and 1 ....??What Is Formula For Alpha minus Beta

(α-β)?

If graph of a polynomial does not intersects the x-axis but intersectd y-axis in one point, then no. of zeroes of the polynomial is equal to

If sum of the square of zeros of the quadratic polynomial f(x)=x^{2}-8x+k is 40 find the value of KReply it fast..

If p(x) = ax

^{2}+ bx + c, then c/a is equal toIf the zeroes of the polynomial x3 - 3x2 + x + 1 are a-b, a, a+b, then find 'a' and 'b'.

Find the third zero of the polynomial, if the sum and product of whose zeroes are -3 and 2.

If (x-k) is a factor of the polynomials x

^{2}+ px + q and x^{2}+ mx + n, Prove that k = (n-q) / (m-p)a) both negative b) one positive one negative

c) both positive d) both equal

explain the ans with solution plzzzzzzzzzzz

if d is the HCF of 45&27,find x,y satisfying d=27x+45y.

If the squared difference of the zeros of the quadratic polynomial f(x) = x^{2}+px + 45 is equal to 144, find the value of p.^{2 }+ bx + c and a+b+c=0 then one of the zero(i) -b/a (ii) c/a (iii) b/c (iv) none of these

if the zeroes of the polynomial x

^{2}+ px + q are double in value to the zeroes of 2x^{2}- 5x - 3 ,then find the value of p and qIf 1 is zero of the polynomial p(x) = ax

^{2}- 3(a-1)x - 1, then the value of 'a' isWhat must be subtracted from the polynomial f(x) = x

^{4}+ 2x^{3}- 13x^{2}- 12x + 21 so that the resulting polynomial is exactly divisible by x^{2}- 4x + 3 ?pls do it urgently

If the polynomial x^4-6x^3+16x^2-25x+10 is divided by another polynomial x^2-2x+k, the remainder comes out to be (x+a), find the values of k and a?

ppt project on polynomials

If one zero of a polynomial 3x

^{2}-8x+2k+1 is seven times the other. Find the value of kpl. provide the answers

if

αandβare the zeros of the quadratic polynomial f(x) =ax^{2 }+bx+c, then evaluate:(i)α-β(ii)=1/aα +b +1/aβ+b(iii)β/aα +b +α/aβ+b^{4}−9𝑥^{2}+9 by the polynomial 𝑥^{2}−3𝑥 and verify the division algorithm.I am not understand this answer given in the meritnation. please explain

Obtain all the zeroes of the polynomial f(x)= 2x

^{4}-2x^{3}-7x^{2}+3x+6, if its two zeroes are√3/2 and -√3/2^{2}- 8x - 6 and verify the relationship between zeroes and coefficients of the polynomial.Find the zeroes of p(x) =3x

root^{2}+ 10x + 73 & the relation between the zeroes and coefficient of the polynomial.rootFind the value of k if -1 is the zero of the polynomial p(x)=kx

^{2}-4x+kif alpha and beta are the zeros of polynomial f(x) = x

^{2_}5x+k such that alpha--beta = 1, then find kIf the polynomial 6x

^{4}+ 8x^{3}- 5x^{2}+ ax + +b is exactly divisible by the polynomial 2x^{2}- 5 , then find the value of a & bpls do it urgently

parabola of quadratic equation with aim,

procedure, observation and conclusion

class 10.......can anyone plssssssss help me out with this question

if alpha and beta are zeroes of 2x^2+5x+k, satisfying alpha^2 + beta^2 +alpha beta=(21/4), find k

What will be the value of k, if the zeroes of x

^{2}+kx+12 differ by 1?check whether 15^n can end with digit zero for any natural number n

If the polynomial f(x) = ax

^{3}+ bx - c is divisible by the polynomial g(x) = x^{2}+bx+c, then ab =a) 1 b) 1/c c) -1 d) -1/c

also, in the above question c =

a) b b) 2b c)2b

^{2}d) -2ba) b b) 2b c) 2b2 d) -2b

If alpha beta are roots of the polynomial f(x) = x

^{2}-px+q then Find value of1) alpha

^{2}+ beta^{2}2) 1/alpha + 1/beta

3) alpha/beta + beta/alpha

If the remainder on division of x3 +2x2+kx+3 by x-3 is 21, find the quotient and the value of k.Hence find the zeros of the polynomial x3+2x2+kx-18

a polynomial of degree 5 is divided by a quadratic polynomial. if it leaves a remainder , then find the degree of remainder..reply fast frnzz..!!if m and n are zeroes of the polynomial 3x

^{2}+11x-4.find the value of m/n +n/mQ.9. Form a quadratic polynomial with sum and product of zeroes are 2 and -3/5 respectively.

Ans : k $\left(5{x}^{2}-10x-3\right)$

show that one and only out of n , n+2 , n+4 is divisible by 3. where n is a positive integer

zeroes are

i) 2, -3/2

ii) 3-?3/5, 3+?3/5

if α, β are the roots of the quadratic polynomial p(x) = x

^{2}-(k-6)x+2(2k-1).Find the value of k,ifα+β = 1/2αβ.Find a quadratic polynomial whose zeroes are 3+root 5 & 3-root5

ANSWER ASAP

how many zeroes can a polynomial of degree n have?

if alfa and beta are the zeroes of of quadratic polynomial f(x)=x

^{2}-3x-2'find quadratic polynomial whose zeroes are 1/2alfa+beta and 1/2beta+alfaa)2

b)3

c)4

d) more than 4

1)if alpha and beta are the zeros of the polynomial x2 -6x +k,what is the value of k when 3 alpha + 2 beta =20

2)if alpha and beta are the zeros of the polynomial 2x2 +7x -3, then the value of 1/alpha +1/beta

3)the quadratic polynomial p(x) with -81 and 3 as product and one of the zeros respectively.what is the polynomial

4)if x+1 is a factor of 2x3 +ax2+2bx +1 find the values of a and b where 2a-3b=4

5)if one solution of the equation 3x2-8x+3k+1 is seven times the other find the soultions and the valure of k

6)if one zero of the polynomial(a2+4)x2 +13x +4a is the reciprocal of the other,find the value of 'a'

(7)if alpha and beta are the zeroes of the quadratic polynomial x2-(k+6)x + 2(2k-1),find k such that alpha + beta =1/2alphabeta

(8)find the values of a and b such that x4+x3+8x2+ax+b is divisible by x2+1

(9)when the polynomial 4x4-5x3-39x2-40x-2 wadivided by the polynomial g(x) the quotient and the remainder were x2-3x-5 and -3x+8 respectively.Find g(x).

If 1 is the zero of the polynomial p(a) = x

^{2}a^{2}- 3xa + 3x - 1, find the value of x.Please answer the above question

with each and every single step........please ................find the zeroes of quadratic polynomial 4 root 3x square + 5x - 2 root 3 and verify th relationship between the zeroes and its coefficients

FInd all the zeroes of x3 - 10x2 + 31x - 30 . If 2 is a zero is a zero of it .

Angle between the minute hand of a clock and hour hand when the time is 7 : 20 am is :

If α and are the zeroes of the quadratic polynomial f(x) =x

^{3}-7x-6x find a polynomial whose zeroes are 2α=3β and 3α +2βPLEASE REPLY!!!! :)

Find the zeroes of the quadratic polynomial 6x

^{2}- 7x - 3 and verify the relationship between the zeroes and the coefficients.