Question

Find the reminder when $4x^2+3x+1$is divided by $x +1$

• A. 1
• B. -2
• C. 2
• D. 4

Answer 1

Answer:

C. 2

when a polynomial p(x) is divided by (x - a) for some number a , the reminder r = p(a)

When p(a) = 0 then (x -a) is a factor of p(x)

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

$x+1=0\implies{x=-1}$

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

$=4-3+1$

$=2$