Question

Find the remainder when 2x^3 + 15x^2 + 31x + 12 is divided by (x-1)​

Answer 1

1/

2 3 15 2 31 12

2 1 14 -12 43

__________________

2 1 14 -12 43 -31

so the answer is r=-31

Answer 2

remainder = 60

Explanation:

Given f(x) divided by (x - h) then the remainder is f(h)

f(x) = 2x³ + 15x² + 31x + 12 , then

f(1) = 2(1)³ + 15(1)² + 31(1) + 12

= 2 + 15 + 31 + 12 = 60 ← remainder