Question

Find the remainder when f(x) = 2x3 – 12x2 + 11x + 2 is divided by x – 5.
Answer:
A) 3
B) –7
C) 7
D) –3
Could someone help me please:)

Answer 1

find
\[f(5)\]and that is your answer

Answer 2

let's try to create x-5 in each of the terms, then we'll take it common and the remaining part will be the remainder
f(x)=2x^3-12x^2+11x+2
writng 2x^3 as----> 2x^2(x-5) this had added an extra term -10x^2, so we'll add a 10x^2
f(x)=2x^2(x-5)+10x^2-12x^2+11x+2
f(x)=2x^2(x-5)-2x^2+11x+2
=2x^2(x-5)-2x(x-5)-10x+11x+2 ( we wote -2x^2 as -2x(x-5) this added a 10 x , so we' have added -10x)
=2x^2(x-5)-2x(x-5)+x+2
=2x^2(x-5)-2x(x-5)+x-5+3
=(x-5)(2x^2-2x+1) +3
=so the quotient is 2x^2-2x+1 and the remainder is 3
option A

Answer 3

Thank you ashley!!!!

Answer 4

*Ash:)

Answer 5

Actually its not option A; got it wrong

Answer 6

Since the remainder is 7, the answer would be C

Answer 7

Im in flvs too btw :3