Question

Find the remainder obtained when 3x^2+4x+6 is divided by x+2​

Answer 1

Answer:

10

Step-by-step explanation:

Using the polynomial remainder theorem,

if $p(x)$ is divided by $x-a$, then $p(a)$ = remainder (r)

Here,

$p(x) = 3x^{2}+4x+6$

$x-a = x-(-2)$

∴ $r = 3(-2)^{2}+4(-2)+6$

$r = 3(4)-8+6$

$r = 12-8+6 = 10$

∴ r = 10

Answer 2

Hence, Remainder = 10.

Hope, it will helpful to you.