Question

find the value of a if x+6 is a factor of of x³+ 3x²+4x+a
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Answer 1

Answer

a-132

Step-by-step explanation:

(X+6) is a factor of x^3+3x^2+4x+a

p(x)=x^3+3x^2+4x+a

p(-6)=3(-6)+3(-6)^2+4(-6)+a                                                  x+6=0

       =-132+a=?                                                  x=-6

       as x+6 is a factor remainder should be zero

       a=132