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Syllabus

root 6 plus root 6 till infinity is equal to

$Q.P\left(x\right)={x}^{2}+2\sqrt{2}x-6$

If alpha and beta are zeroes of the polynomial x

^{2}- 6x + a.Find the value of a if 3alpha + 2beta = 20If 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 alpha and beta are the zeros of polynomial x

^{2 }- 5x + k such that alpha-beta=1. find the value of k ......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

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.how many zeroes can a polynomial of degree n have?

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.are - 5 and 6 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.If two zeroes of the polynomial p(x) = x

^{4}- 6x^{3}-26x^{2}+138x -35 are 2+root 3, find the other zeroes.for what value of k,the pair of equations 4x-3y=9,2x+ky=11 has no solution

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 :(

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.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 explanationWhat Is Formula For Alpha minus Beta

(α-β)?

^{(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.find the other zeroes of the polynomial x4 - 7x2 + 12if it is given that two of its zeroes root3 and -root3.

Formulae for alpha square plus beta square

^{2}- 2ab + b^{2}+ 6a + 9 = 0, then what is the value of (a+b) + ab?Given that root 2 is a zero of the cubic polynomial 6x3 + root2 x2 – 10x – 4 root2 , find

If alpha and beta are zeros of a polynomial ax

^{2}+bx+c then evaluate alpha-beta.if alpha and beta are zeroes of polynomial p(x)=5x

^{2}+5x+1 , then find the value of:1. alpha

^{2}+ beta^{2 }, 2. alpha^{-1 }and beta^{-1}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

if the zeroes of p(x) = 2x

^{2}- 7x + k are reciprocal of each other then value of k is :-If 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 ,

^{3}- 3x^{2}+ 5x + 2 by a g(x) the quotient and the remainder were x - 2 and x + 4 respectively find g(x).for what value of h iz d polynomial f(X)=2x^3-hx^2+5x+9 exactly divisible by (x+2)

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 the zeroes of the polynomial x3 - 3x2 + x + 1 are a-b, a, a+b, then find 'a' and 'b'.

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 quadratic polynomial can have how many zeros?

A. at most 2 zeros

B. at least 2 zeros

C. only 1 zero

D. exactly 2 zeros

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

If alpha and beta are zeroes of polynomial 3x

^{2}+ 2x - 6 find the value of alpha-beta, alpha^{2}+ beta^{2}, alpha^{3}+ beta^{3}, and 1/alpha + 1/beta.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}- ax +b , then find the value of alpha^{2}+beta^{2}.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 qWhat must be added to the polynomial p(x) =

5xso that the resulting polynomial is exactly divisible by the polynomial q(x) =^{4}+ 6x^{3}- 13x^{3}- 44x + 7xand the degree of the polynomial to be added must be less than degree of the polynomial q(x).^{2}+ 4x + 3If 1 is zero of the polynomial p(x) = ax

^{2}- 3(a-1)x - 1, then the value of 'a' isa) both negative b) one positive one negative

c) both positive d) both equal

explain the ans with solution plzzzzzzzzzzz

What 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

^{3}+ y = 2249, where x and y are natural numbers and HCF of x and y is not 1, then what is the value of (x+y)?ppt project on polynomials

ESSENTIALS OF MATHEMATICS BY MAMTA BATRA CLASS-XURGENTLYIf one zero of a polynomial 3x

^{2}-8x+2k+1 is seven times the other. Find the value of k123456789 = 100

How many different ways are there to make the equation correct?( There are eleven ways to solve this send all the eleven ways solution)

pl. 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+bfind the zeroes of the quadratic polynamial (4x^{2}-4x-3) and verify the relation between its zeroes and coefficients.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 -√3/2if the zeroes of the polynomial x2 + 4x + 2a are alpha and 2/alpha, then find a

Find the zeroes of p(x) =3x

root^{2}+ 10x + 73 & the relation between the zeroes and coefficient of the polynomial.rootform a quadratic polinomial whose one zero is 8 and the product of the zeroes is -56

if alpha and beta are the zeros of polynomial f(x) = x

^{2_}5x+k such that alpha--beta = 1, then find kif 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 :-If 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

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

Find the quadratic polynomial whose sum and product of the zeroes are 21/8 and 5/16 respectively

check whether 15^n can end with digit zero for any natural number n

^{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

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

if m and n are zeroes of the polynomial 3x

^{2}+11x-4.find the value of m/n +n/mshow that one and only out of n , n+2 , n+4 is divisible by 3. where n is a positive integer

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.^{2 }+11x + k is -3.find the value of k and the other zero .Find a quadratic polynomial whose zeroes are 3+root 5 & 3-root5

ANSWER ASAP

Find the square root of 10+√( 24)+√( 60)+√40

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+alfaif one zero of hte quardratic polynomial (k-1) x2+kx+1 is -4 then tshe value of k is

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).

Find the zeroes of the polynomial

x^{2}+1/6-2 and verify the relationship between the coefficients and the zeroes of the polynomialxfind the zeroes of quadratic polynomial 4 root 3x square + 5x - 2 root 3 and verify th relationship between the zeroes and its coefficients

How many polynomials are there having 9 and -7 as zeroes

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

Find the zeroes of the quadratic polynomial 6x

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