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

Find the zeroes of the polynomial

4t^{2}- 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 the values of k and a.form a quadratic polynomial whose zeroes are 4 and 6

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

^{2}- 8kx - 9 is negative of the other, find the value of k.for what value of k,the pair of equations 4x-3y=9,2x+ky=11 has no solution

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.relationship between zeroes and coefficients of the polynomial.

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

^{4}- 6x^{3}-26x^{2}+138x -35 are 2+root 3, find the other zeroes.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 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.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 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 explanationif 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 :-^{(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

^{3}- 3x^{2}+ 5x + 2 by a g(x) the quotient and the remainder were x - 2 and x + 4 respectively find g(x).Given that root 2 is a zero of the cubic polynomial 6x3 + root2 x2 – 10x – 4 root2 , find

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

If alpha and beta are zeros of a polynomial ax

^{2}+bx+c then evaluate alpha-beta.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!!!! :)

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}-2x^{2}+kx+5 is divided by x-2, the remainder is 11. find k. hence find all the zeroes of x^{3}+kx^{2}+3x+1.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 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 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.

a) both negative b) one positive one negative

c) both positive d) both equal

explain the ans with solution plzzzzzzzzzzz

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

^{4}+ 5x^{3}+ 4x^{2}- 10x-12 has two zeroes as -2 and -3 , then find the other zeroesWhat Is Formula For Alpha minus Beta

(α-β)?

how to form a cubic polynomial

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

a)2

b)3

c)4

d) more than 4

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

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^{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 1 is zero of the polynomial p(x) = ax

^{2}- 3(a-1)x - 1, then the value of 'a' is^{2}- 6x + 8, then find the value of alpha - beta (alpha > beta)please explain the answer step by step

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

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..!!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+bZeroes of p(z) = z^2-27 are ??

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

Find the zeroes of p(x) =3x

root^{2}+ 10x + 73 & the relation between the zeroes and coefficient of the polynomial.rootare ?5 and 6 respectively.

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

^{2_}5x+k such that alpha--beta = 1, then find kFind the third zero of the polynomial, if the sum and product of whose zeroes are -3 and 2.

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 the zeroes of the polynomial x2 + 4x + 2a are alpha and 2/alpha, then find a

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

the other two zeroes of the polynomial x

^{3 }- 8x^{2 }+ 19x -12 if its one zeroes is x=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 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 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/mIf p(x) = ax

^{2}+ bx + c, then c/a is equal toshow 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.which

of these must be true?

Option 1: ?? = 2?? or ?? = 4??

Option 2: ?? = 2 or ?? = 4??

Option 3: ?? = 2??

Option 4: ?? = 4

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+alfaGiven a

^{2}+ b^{2}= 1, c^{2}+ d^{2}= 1, p^{2}+ q^{2}= 1, where all numbers are real , then1)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 quadratic polynomial 4 root 3x square + 5x - 2 root 3 and verify th relationship between the zeroes and its coefficients

^{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

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

^{3}+ax^{2}+bx+c if f(1)=f(2)=0 and f(4)=f(0), then the value of a,b and cFind the zeroes of the quadratic polynomial 6x

^{2}- 7x - 3 and verify the relationship between the zeroes and the coefficients.the coefficient of x in the expansion of (x+3)

^{3}