26. what is the remainder when $p(x) = 4x^3 - 5x + 2$ is divided by $x - 1$?\na. 1\nb. 0\nc. 3\nd. -1

Explanation:

Step1: Apply Remainder Theorem

For polynomial $p(x)$ divided by $x-a$, remainder is $p(a)$. Here $a=1$, so calculate $p(1)$.

Step2: Substitute $x=1$ into $p(x)$

$p(1) = 4(1)^3 - 5(1) + 2$

Step3: Compute the value

$p(1) = 4 - 5 + 2 = 1$

Answer:

a. 1