Question

Examine whether x+2 is a factor of the polynomial x2+5x+6

Answer 1

Answer:

Yes x+2 is a factor of x² + 5x + 6

Step-by-step explanation:

Let f(x)=x²+5x+6

By factor theorem if (x+b) should be a factor of f(x) then f(-b) should be 0

So, f(-2)=0

(-2)² + 5(-2) + 6 should be 0

4 - 10 + 6 = 0

0 = 0

Hence x+2 is a factor of x²+5x+6