Question

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

Answer 1

Step-by-step explanation:

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

given that p(x) = 3×3+2×2-3x-2 and g(x) = x+a

the value of x =

g(x) = o and -a

if we replace x to -a

then we get

3×3+2×2-3x-2

= 9+4-3a-2

=13-2-3a

= 11-3a