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 ,

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