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"#
