Question

Find the reminder when $4x^2+3x+1$is divided by $2x +5$

• A. 9/2
• B. 15/2
• C. 37/2
• D. 10

Answer 1

Answer:

C. 37/2

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)

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

$2x+5=\implies{x=-5/2}$

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

$=4\times25/4-15/2+1$

$=25-15/2+1$

$=37/2$