How do you determine whether x+2 is a factor of the polynomial 2x^3-x^2-5x-82x3−x2−5x−8?
1 Answer
Feb 17, 2017
not a factor.
Explanation:
Using the
color(blue)"Remainder rheorem"Remainder rheorem
"If "(x+h)" is a factor then " P(-h)=0If (x+h) is a factor then P(−h)=0
"for "(x+2),h=-2for (x+2),h=−2
rArr2x^3-x^2-5x-8⇒2x3−x2−5x−8
=2(-2)^3-(-2)^2-5(-2)-8≠0=2(−2)3−(−2)2−5(−2)−8≠0
rArr(x+2)" is not a factor of the polynomial"⇒(x+2) is not a factor of the polynomial
