# How do you determine whether x+2 is a factor of the polynomial #2x^3-x^2-5x-8#?

##### 1 Answer

Feb 17, 2017

not a factor.

#### Explanation:

Using the

#color(blue)"Remainder rheorem"#

#"If "(x+h)" is a factor then " P(-h)=0#

#"for "(x+2),h=-2#

#rArr2x^3-x^2-5x-8#

#=2(-2)^3-(-2)^2-5(-2)-8≠0#

#rArr(x+2)" is not a factor of the polynomial"#