Question

Examine whether x + 2 is a factor of x³ + 3x² + 5x + 6 and of 2x + 4.

Answer 1

Explanation:

x+2=0 x=-2

x^3+3x^2+5x+6

(-2)^3+3(-2)2+5(-2)+6

-8+12-10+6

0

hence x+2 is a factor of x^3+3x^2+5x+6

x+2=0

x=-2

2x+4

2(-2)+4

-4+4

0

also x+2 is a factor of 2x+4

Answer 2

x+2 is the factor of 2x+4