What is the remainder when $(2x^3 – 8x^2 + 6x – 6) ÷ (x – 4)$ ?

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Answer 1 · 2018-06-30T12:05:42

The remainder is 18.

The Remainder Theorem states that the remainder when a polynomial $P(x)$ is divided by $x-a$ is equal to $P(a)$ .

Applying this, we get that the remainder is just $2(4)^3-8(4)^2+6(4)-6=18$

What is the remainder when (2x^3 – 8x^2 + 6x – 6) ÷ (x – 4)(2x^3 – 8x^2 + 6x – 6) ÷ (x – 4)?