Question

suppose f(x) = -x⁵ - 3x³ + 2x² - 80 and p(x) = x - 2. what is the remainder when f(x) is divided by p(x)? type your answer in the boxes

Explanation:

Step1: Apply Remainder Theorem

Remainder = f(2)

Step2: Calculate f(2)

$f(2) = -(2)^5 - 3(2)^3 + 2(2)^2 - 80$

Step3: Compute each term

$-(32) - 3(8) + 2(4) - 80 = -32 -24 +8 -80$

Step4: Sum the terms

$-32-24= -56; -56+8=-48; -48-80=-104$

Answer:

-104