Let P(x) and Q(x) be two polynomials. If `f(x) = P(x^4) + xQ(x^4)` is divisible by `x^2 + 1`, then

Show that the polynomial x^(4p)+x^(4q+1)+x^(4r+2)+x^(4s+3) is divisible by x^3+x^2+x+1, w h e r ep ,q ,r ,s in ndot

The sum of the polynomials p(x) = x^(3) - x^(2) - 2, q(x) = x^(2) - 3x + 1

Find the zeroes of the given polynomial. p(x)=(x+2)(x+3)

The LCM and GCD of the two polynomilas is (x^2 + y^(2) ) (x^(4) + x^(2) y^(2) + y^(4)) and x^(2) -y^(2) one of the polynomial q(x) is (x^(4)-y^(4))(x^(2) +y^(2) - xy) find the other polynomials.

Why are 1/4 and -1 zeroes of the polynomials p(x)=4x^(2)+3x-1 ?

Find the product of given polynomials p(x) = 3x^(3) +2x - x^(2) + 8 and q(x) = 7x + 2

For what value of k is the polynomial p(x) = 2x^(3) -kx^(2) + 3x + 10 exactly divisible by ( x-2).

The sum of the polynomials p(x) =x^(3) -x^(2) -2, q(x) =x^(2) -3x+ 1