What should be subtracted from the polynomial (4x^3+7x^2+15) such that the obtained expression is completely divisible by (4x^2–5) so that...

What must be subtracted from the polynomial f(x)=x^(4)+2x^(3)-13x^(2)-12x+21 so that the resulting polynomial is exactly divisible by x^(4)-4x+3?

What real number should be subtracted from the polynomial (3x^(3)+10x^(2)-14x-9) so that (3x-2) divides it exactly?

What should be subtracted from p(x)=6x^(4)+7x^(3)+26x^(2)-25x+25 so that the resulting polynomial is exactly divisible by g(x)=3x^(2)-x+4 .

What real number should be subtracted from the polynomial (3x^(2)+10x^(2)-14x+9) so that (3x-2) divides it exactly?

What must be subtracted from 8x^(4)+14x^(3)-2x^(2)+7x-8 so that the resulting polynomial is exactly divisible by 4x^(2)+3x-2 .

What should be subtracted from x^(3) - 7x^(2) + 17x + 17 so that the difference is a multiple of x-3 ?

What must be added to the polynomial f(x)=x^(4)+2x^(3)-2x^(2)+x-1 so that the resulting polynomial is exactly divisible by x^(2)+2x-3?