If `(x+ p) `is a factor of the polynomial `2x^2 +2px+5x 10`. find p.

If (1 - p) is a zero of the polynomial x^2 +px + 1-p= 0 , then find both zeroes of the polynomial.

If (x - 2) is a factor of polynomial p(x) = x^(3) + 2x^(2) - kx + 10 , then the value of k is:

If (x+a) is a factor of the polynomials x^(2)+px+q=0 and x^(2)+mx+n=0 prove a=(n-q)/(m-p)

Find the zero of the polynomial p(x) = 2x+5 .

Find p and q so that (x + 2)" and "(x – 1) may be factors of the polynomial f(x) = x^(3) + 10x^(2) + px + q .

if x+a is a factor of the polynomials x^(2)+px+q and x^(2)+mx+n prove that a=(n-q)/(m-p)

If (x + b) be a common factor of both the polynomials (x^(2)+px+q)and(x^(2)+kx+m) then prove that b=(q-m)/(p-1) .

Find the relation between p and r if (x - 2) and (x-1/2) be two factors of the polynomial px^(2)+5x+r .

In each of the following cases, use factor theorem to find whether g(x) is a factor of the polynomial p(x) or not. p(x)= x^(3)-3x^(2)+6x-20 g(x)= x-2

If (x-3) and (x-1/3) are factors of the polynomial px^(2)+3x+r , show that p=r.