Question

Find the remainder R by long division and by the Remainder Theorem.

(2x4- 10x2+ 30x - 60) ÷ (x + 4)

Select the appropriate response:

A) f(−4) = 6(-4)^4 − 10(−4)^2 + 30(−4) − 60 = 200

B) f(−4) = 2(-4)^4 − 10(−4)^2 + 30(−4) − 60 = 172

C) f(−4) = 2(-4)^4 − 10(−4)^2 + 30(−4) − 60 = 142

D) None of the above

Answer 1

B) f(−4) = 2(-4)^4 − 10(−4)^2 + 30(−4) − 60 = 172

Explanation:

(2x4- 10x2+ 30x - 60) ÷ (x + 4)

x = -4

Remainder:

2(-4)⁴ - 10(-4)² + 30(-4) - 60 = 172

Answer 2

B

Explanation:

To find it you do you divide by x+4=0 so -4 plug in -4 and get 172 so B