Can `(x-2)` be the remainder on division of a polynomial `p(x)` by `(2x+3)?` Justify your answer.

Can (x^2 - 1) be a remainder while dividing x^4 - 3x^2 + 5x -9 by x^2 + 3 justify your amswer with reasons.

Can (x^2 - 1) be a remainder while dividing x^4 - 3x^2 + 5x -9 by x^2 + 3 justify your amswer with reasons.

Can (x^2 - 1) be a remainder while dividing x^4 - 3x^2 + 5x -9 by x^2 + 3 justify your amswer with reasons.

Determine the remainder when the polynomial p(x)=x^4-3x^2+2x+1, is divided by x-1

Find the remainder when the polynomial p(x)=x^(3)-3x^(2)+4x+50 is divided by (x+3).

Write the remainder when the polynomial f(x)=x^3+x^2-3x+2 is a divided by x+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 equations R(x) = x^(2)+ ax +1 has two distint real roots, then exhaustive values of a are.

Find the remainder when the polynomial p(x)=x^(4)-3x^(2)+5x+1 is divided by (x-2).

Find the remainder when the polynomial 4x^(4)+3x^(2)-5x+1 is divided by (2x-1).