If the polynomial `4x^(3)-16x^(2)+ax+7` is exactly divisible by x-1, then find the value of a. Hence factorise the polynomial.

If the polynomial x^(4)-3x^(3)-6x^(2)+kx-16 is exactly divisible by x^(2)-3x+2 , then find the value of k .

If x^(3) +ax^(2) + 2x+3 is exactly divisible by (x+1) . Find the value of a

If the polynomial ax^(5)-23x^(2)+47x+1 is divided by x -2then remainder is 7. Find the value of a.

If the polynomial x^(3)+ax^(2)-bx-30 is exactly divisible by x^(2)-2x-15 . Find a and b and also the third factor.

If the polynomial 7x^(3)+ax+b is divisible by x^(2)-x+1 , find the value of 2a+b.

If the polynomial 7x^(3)+ax+b is divisible by x^(2)-x+1 , find the value of 2a+b.

If the polynomial 7x^(3)+ax+b is divisible by x^(2)-x+1 , find the value of 2a+b.

If the polynomial 7x^(3)+ax+b is divisible by x^(2)-x+1 , find the value of 2a+b.

If the polynomial 7x^(3)+ax+b is divisible by x^(2)-x+1 , find the value of 2a+b.

The polynomial px^(3)+4x^(2)-3x+q completely divisible by x^2-1: find the values of p and q. Also for these values of p and q factorize the given polynomial completely.