# What is the remainder when the function #f(x)=x^3-4x^2+12# is divided by (x+2)?

##### 2 Answers

Jan 11, 2018

#### Explanation:

The Remainder theorem states that, when

Where

If for some

From example:

Let

This theorem is just based on what we know about numerical division. i.e.

The divisor x the quotient + the remainder = the dividend

Jan 11, 2018

#### Explanation:

#"using the "color(blue)"remainder theorem"#

#"the remainder when "f(x)" is divided by "(x-a)" is "f(a)#

#"here "(x-a)=(x-(-2))rArra=-2#

#f(-2)=(-2)^3-4(-2)^2+12=-12#