If we divide a polynomial p(x) by `x - alpha,` the remainder obtained is `p(alpha)` Note that if `p(alpha) = 0,` then `x-alpha` is a factor of p(x).

If alpha and beta are zeroes of polynomial p(x) = x^(2) - 5x +6 , then find the value of alpha + beta - 3 alpha beta

If alpha and beta are zeroes of the polynomial p(x) = x^(2) - 5x +6 , then the value of alpha + beta - 3 alpha beta is

If alpha, beta, gamma be the zeros of the polynomial p(x) such that (alpha+beta+gamma) = 3, (alpha beta+beta gamma+gamma alpha) =- 10 and alpha beta gamma =- 24 then p(x) = ?

If alpha and beta are the roots of the equations x^2-p(x+1)-c=0 , then (alpha+1)(beta+1)_ is equal to:

Find P and alpha by converting equation x+y =1 in xcos alpha + y sin alpha = P form.

If alpha,beta are zeroes of polynomial f(x) =x^(2)-p(x+1)-c , then find the value of (alpha+1)(beta+1) .

If alpha,beta are zeroes of polynomial f(x) =x^(2)-p(x+1)-c , then find the value of (alpha+1)(beta+1) .

If alpha and beta are the zeros of the polynomial p(x) = x^(2) - px + q , then find the value of (1)/(alpha)+(1)/(beta)

If alpha , beta are the roots of x^2-p(x+1)+c=0 then (1+alpha )( 1+ beta )=