Question

if x+a is a factor of the polynomial 3 x3 + 2x2 - 3x - 2

Answer 1

Answer:

6

Step-by-step explanation:

By factor theorem,if the value of polynomial p(x) is zero at x=c, then g(x)=x−c is a factor of p(x).

Given p(x)=x3+2x2+3x+6 and g(x)=x+2

To find value of c, 

g(x)=0 then c=−2 

if we replace x by −2 we get,

p(−2)=(−2)3+2(−2)2+3(−2)+6

p(−2)=−8+8−6+6

p(−2)=0

 Therefore, x+2 is factor of x3+2x2+3x+6

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