# How do I use the factor theorem to prove #x-2# must be a factor of #2x^3-x^2-7x+2#?

##### 1 Answer

Mar 17, 2018

#### Explanation:

#"for a polynomial "f(x)#

#• " if "f(a)=0" then "(x-a)" is a factor of "f(x)#

#"substitute "x=2 " into the polynomial"#

#rArr2(2)^3-(2)^2-7(2)+2=0#

#rArr(x-2)" is a factor of "2x^3-x^2-7x+2#