Question

A teacher writes the following product on the board:

(2x+3)(x + 4) = x² + 7x + 12
Hafsana says that I + 3 is a factor of x² + 7 + 12.
Zhenghao says that x? + 7x + 12 is divisible by 2 + 3.
Who is correct?

Answer 1

Zhenghao is correct

Explanation:

We have that:

(2x+3)(x + 4) = x² + 7x + 12

The only two factors of x² + 7x + 12 different from 1 ,-1 and and itself are (2x+3) and (x + 4)

If Hafsana says that (x + 3) is a factor of x² + 7 + 12, He or she is not correct.

If Zhenghao says that x² + 7x + 12 is divisible by 2x + 3, He or she is correct because (2x + 3) is a factor of x² + 7x + 12