Question

What is the reminder when the polynomial $4x^3+2x^2+x+1/2$is divided by $2x-1$?

• A. 1
• B. 2
• C. 0
• D. 4

Answer 1

Answer:

B. 2

$2x-1=0$

$x=1/2$

$p(x)=4x^3+2x^2+x+1/2$

$p(1/2)=4(1/2)^3+2(1/2)^2+1/2+1/2$

$=4\times1/8+2\times1/4+1$

$=1/2 + 1/2 + 1$

$=2$