Question

Factor the polynomial completely

z^2 + 10z+24

Answer 1

(z+4)(z+6) because 4+6=10 and 4*6=24

Answer 2

(z + 6)(z + 4)

Explanation:

z² + 10z + 24

consider the factors of the constant term (+ 24) which sum to give the coefficient of the z- term (+ 10)

the factors are + 6 and + 4 , since

6 × 4 = + 24 and 6 + 4 = + 10 , then

z² + 10z + 24 = (z + 6)(z + 4) ← in factored form