Question

What the real number should be subtract from the polynomial p(x)=3x³+10x²-14x+9

Answer 1

Hi friend!!!!!

Given, p(x)=3x³+10x²-14x+9

to find the remainder when p(x) is divided by 3x-2 we need to find p(2/3)

→p(2/3)=3(2/3)³+10(2/3)²-14(2/3)+9

=8/9+40/9-28/3+9

=(8+40-84+81)/9

=(48-3)/9

=5

so, 5 should be subtracted from the polynomial 3x^3+10x^2-14x+9. So, that (3x-2) divides it exactly

I hope this will help u ;)