Answer:
(2z - 3)(15z - 4)
Step-by-step explanation:
To factor the quadratic
Consider the factors of the product of the coefficient of the z² term and the constant term which sum to give the coefficient of the z- term
product = 30 × 12 = 360 and sum = - 53
The factors are - 45 and - 8
Use these factors to split the z- term
30z² - 45z - 8z + 12 ( factor the first/second and third/fourth terms )
= 15z(2z - 3) - 4(2z - 3) ← factor out (2z - 3)
= (2z - 3)(15z - 4) ← in factored form
