root 6 plus root 6 till infinity is equal to

If alpha and beta are zeroes of the polynomial x² - 6x + a.Find the value of a if 3alpha + 2beta = 20

If alpha and beta are the zeros of polynomial x² - 5x + k  such that alpha-beta=1. find the value of k ......

If the polynomial x⁴ - 6x³ + 16x² - 25x + 10 is divided by another polynomial x² - 2x + k, the remainder comes out to be x + a, find the values of k and a.

Find ' k ' so that ( x²+2x+k ) is a factor of ( 2x⁴ + x³ - 14x² + 5x + 6 ). Also find all the zeroes of both the polynomials.

If one zero of the quadratic polynomial f(x) = 4x² - 8kx - 9 is negative of the other, find the value of k.

1. If one zero of the polynomial ( a² + 9 ) x² + 13x +6a is a reciprocal of the other, find the values of a. Also find the polynomial..

2. Factorise p(x) = x³ - 3x² - 9x - 5 .

3. If a and b are the zeroes of the quadratic polynomial f (x) = x² - p(x+1) - c, show that (a+1) (b+1) = 1 - c .

4. The polynomial ax³ + bx² + 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 x⁴ - 6x³ + 16x² - 25x +10 is divided by another polynomial x² - 2x + k , the remainder comes out to be x+a . Find k and a .

6. Find the zeroes of the polynomial f(x) = x³ - 5x² - 16x + 80 , if its two zeroes are equal in magnitude but opposite in sign.

If two zeroes of the polynomial p(x) = x⁴ - 6x³ -26x² +138x -35 are 2 +root 3, find the other zeroes.

If alpha and beta are the zeroes of the polynomial f(x) = ax²+ bx + c, then evaluate

1)alpha²+ beta²

2)alpha/beta + beta/alpha

3)alpha³+ beta³

4)1/alpha³+ 1/beta³

5)alpha²/beta + beta²/alpha
please 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) = x² - px + q, prove that alpha²/beta² + beta²/alpha² = p⁴/q² - 4p²/q + 2.

Find all the zeros of 2x⁴-9x³+5x²+3x-1 if two its zeros are 2+ root 3,  2- root 3  pls answer with explanation

1. What must be added to polynomial f^(x)=x⁴+2x³-2x²+x-1 so that the resulting polynomial is excatly divisible by x²+2x-3?
2. Find the zero's of the polynamial 4x²-7.
3. Find all the zero's of the polynomial 2x³+x²-6x-3, if 2 of its zero's are minus root 3 and root 3.
4. Find the zero's of the quadratic polynomial x²=5x=6 and verify the relationship between the zero's and the co-efficient.
5. if alpha, beta are zero's of the polynomial x²-2x-8,then form a quadratic polynomial whose zero's are 2alphaand 2beta.

Formulae for alpha square plus beta square

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 ax²+bx+c then evaluate alpha-beta.

If alpha and beta are zeros of quadratic polynomial f(x)=x²-2x+3 find polynomial whose roots are alpha+2,Beta+2

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.

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)=x²-8x+k is 40 find the value of K

Reply 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 x² + px + q and x² + mx + n, Prove that k = (n-q) /  (m-p)

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) = x² +px + 45 is equal to 144, find the value of p.

if the zeroes of the polynomial x² + px + q are double in value to the zeroes of 2x² - 5x - 3 ,then find the value of p and q

If 1 is zero of the polynomial p(x) = ax² - 3(a-1)x - 1, then the value of 'a' is

What must be subtracted from the polynomial f(x) = x⁴ + 2x³ - 13x² - 12x + 21 so that the resulting polynomial is exactly divisible by x² - 4x + 3 ?

pls do it urgently

ppt project on polynomials

If one zero of a polynomial 3x²-8x+2k+1 is seven times the other. Find the value of k

pl. provide the answers

if α and β are the zeros of the quadratic polynomial f(x) =ax² +bx+c, then evaluate:

(i) α- β

(ii)=1/aα +b  +1/a β+b

(iii) β/aα +b  +α/a β+b

Obtain all the zeroes of the polynomial f(x)= 2x⁴-2x³-7x²+3x+6, if its two zeroes are√3/2 and -√3/2

Find the zeroes of p(x) = root 3x²+ 10x + 7 root 3 & the relation between the zeroes and coefficient of the polynomial.

if alpha and beta are the zeros of polynomial f(x) = x^2_5x+k such that alpha--beta = 1, then find k

If the polynomial 6x⁴ + 8x³- 5x² + ax + +b is exactly divisible by the polynomial 2x² - 5 , then find the value of a & b

pls 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

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

If the polynomial f(x) = ax³ + bx - c is divisible by the polynomial g(x) = x²+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)2b² d) -2b

a) b b) 2b c) 2b2 d) -2b

If alpha beta are roots of the polynomial f(x) = x²-px+q then Find value of

1) alpha² + beta²

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 3x²+11x-4.find the value of m/n +n/m

 show 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) = x²-(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)=x²-3x-2'find quadratic polynomial whose zeroes are 1/2alfa+beta and 1/2beta+alfa

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 quadratic polynomial 4 root 3x square  + 5x - 2 root 3 and verify th relationship between the zeroes and its coefficients

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