Give examples of polynomials `p(x),g(x),q(x)` and `r(x)`, which satisfy the division algorithm and
deg r(x) = 0

Give examples of polynomials p(x),g(x),q(x) and r(x) , which satisfy the division algorithm and deg q(x) = deg r(x)

Give examples of polynomials p(x),g(x),q(x) and r(x) , which satisfy the division algorithm and deg p(x) = deg q(x)

Divide 3x^(2)-x^(3)-3x+5 by x-1-x^(2) , and verify the division algorithm.

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

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

Consider an unknow polynomial which divided by (x - 3) and (x-4) leaves remainder 2 and 1, respectively. Let R(x) be the remainder when this polynomial is divided by (x-3)(x-4) . If R(x) = px^(2) + (q-1) x + 6 has no distinct real roots and p gt 0 , then the least value of 3p + q is

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

If a polynomial p(x)=x^(2)-5x-14 is divided by another polynomial q(x) we get (x-7)/(x+2) , find q(x).

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