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root 6 plus root 6 till infinity is equal to

If alpha and beta are zeroes of the polynomial x

^{2}- 6x + a.Find the value of a if 3alpha + 2beta = 20$Q.P\left(x\right)={x}^{2}+2\sqrt{2}x-6$

If alpha and beta are the zeros of polynomial x

^{2 }- 5x + k such that alpha-beta=1. find the value of k ......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.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.Q). $f\left(x\right)=4\sqrt{3}{x}^{2}+5x-2\sqrt{3}$

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

^{2}- 8kx - 9 is negative of the other, find the value of k.1 class 10-20 20-30 30-40 40-50 50-60 60-70 70-80 total

2 frequency 4 8 x 12 10 4 y 50

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 the zeroes of the quadratic polynomial ax2 + bx +c=0 , c =0 are equal, then:

a) c and a have opposite signs

b) c and b have opposite sign

c) c and a have the same sign

d) c and b have the same 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.find the quadratic polynomial whose zeros are 2 and -6.verify the relation between the coefficients and the zeros of the polynomial

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 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 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 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

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

^{49 }in the product (x-1)(x-3)(x-5) ........... (x-99) ?If alpha and beta are zeros of a polynomial ax

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

^{2}-2x+3 find polynomial whose roots are alpha+2,Beta+2^{3}+bx^{2}+cx+d.find the value of alpha square beta square and gamma square.If 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 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.

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

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

What Is Formula For Alpha minus Beta

(α-β)?

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 x+y+z=3, x

^{2}+y^{2}+z^{2}=5, x^{3}+y^{3}+z^{3}=7 then find the value of x^{4}+y^{4}+z^{4}.If the zeroes of the polynomial x3 - 3x2 + x + 1 are a-b, a, a+b, then find 'a' and 'b'.

ESSENTIALS OF MATHEMATICS BY MAMTA BATRA CLASS-XURGENTLYIf (x-k) is a factor of the polynomials x

^{2}+ px + q and x^{2}+ mx + n, Prove that k = (n-q) / (m-p)if d is the HCF of 45&27,find x,y satisfying d=27x+45y.

Given a

^{2}+ b^{2}= 1, c^{2}+ d^{2}= 1, p^{2}+ q^{2}= 1, where all numbers are real , thenIf 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.the zeroes of quadratic polynomial p(x) = x2 + kx + k ,k not equal to zero

( 1)are always equal (2)are always unequal

(3)both cannot be positive (4) both cannot be negative

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 q^{3}- px^{2}+ qx - r , then 1/(alpha)(beta) + 1/(beta)(gamma) + 1/(gamma)(alpha) is equal to :If 1 is zero of the polynomial p(x) = ax

^{2}- 3(a-1)x - 1, then the value of 'a' isIf one of the zeroes of a quadratic polynomial of the form x2+ax + b is the negative

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

ppt project on polynomials

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+b^{4}- 9x^{3}+ x^{2}+ 15x + k is completely divisible by 3x^{2}- 5, find the value of k and hence the other two zeroes of the polynomial.If one zero of a polynomial 3x

^{2}-8x+2k+1 is seven times the other. Find the value of kThe zeroes of the quadratic polynomial p(x)= x

^{2}+ kx + k , k is not = to 0:A) are always equalB)are always unequalC) both cannot be positiveD) both cannot b negative

ans is option Ce

xplain how

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 -√3/2Find the zeroes of p(x) =3x

root^{2}+ 10x + 73 & the relation between the zeroes and coefficient of the polynomial.root^{200}+1 is divided by x^{2}+1, the remander is equal to-Dear Experts, the question that you referred similar is totaly different and inunderstandable!!So kindly Answer the Question again.

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

^{2_}5x+k such that alpha--beta = 1, then find kFind integers a and b such that x

^{2}-x-1 , divides ax^{17 }+ bx^{16}+1 = 0. please solve with full steps .check whether 15^n can end with digit zero for any natural number n

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

Angle between the minute hand of a clock and hour hand when the time is 7 : 20 am 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 p(x) = ax2 + bx +c and a + c = b, then one of the zeroes is

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 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

what is the value of alpha cube minus beta cube

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 f(x)=x

^{2}+5x+p and g(x)+x^{2}+3x+q have a common factor, then (p-q)^{2}=show that one and only out of n , n+2 , n+4 is divisible by 3. where n is a positive integer

if m and n are zeroes of the polynomial 3x

^{2}+11x-4.find the value of m/n +n/mif 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

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 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

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).

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

^{2}+px+q then polynomial having 1/alpha and 1/beta as its zeros is:(A)x

^{2}+qx+p(B)x

^{2}-px+q(C)qx

^{2}+px+1(D)px

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

^{2}-88x+125 are1)both positive

2)both negative

3)one positive and one negative

4)both equal

^{19}+ x^{17}^{} + x^{13}+ x^{11}+ x^{7}+ x^{5}+ x^{3}is divided by x^{2}+ 1, find the remainder.(And please it is a request that do not send a link because i have seen all of them and none of them was helpful)

Find the zeroes of the quadratic polynomial 6x

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