Question

Use the Remainder Theorem to evaluate P(c).P(x) = 3x3 + 4x2 − 6x + 2, c = 3P(3) =

Answer 1

We want to use the remainder theorem to determine the remainder of the division;

`P(x)=3x^3+4x^2-6x+2,\text{ }c=3`

Inserting x = 3, into the polynomial, we have;

`P(3)=3(3)^3+4(3)^2-6(3)+2=101`

Thus;

`P(3)=101`