Question

Find the remainder when 2x3−3x2+4x−5
2
𝑥
3
−
3
𝑥
2
+
4
𝑥
−
5
is divided by x−1
𝑥
−
1
(1 point)
Responses

1
1

0
0

-1
-1

-2

Answer 1

Remainder = P(1) by the Remainder Theorem.
P(1) = 2(1)^3 − 3(1)^2 + 4(1) − 5 = 2 − 3 + 4 − 5 = −2.

Answer: -2.