Answer:
(z + 9)(3z - 1)
Explanation:
Given
3z² + 26z - 9
To factor the quadratic
Consider the factors of the product of the z² term and the constant term which sum to give the coefficient of the z- term
product = 3 × - 9 = - 27 and sum = + 26
The factors are + 27 and - 1
Use these factors to split the z- term
3z² + 27z - z - 9 ( factor the first/second and third/fourth terms )
3z(z + 9) - 1(z + 9) ← factor out (z + 9) from each term
(z + 9)(3z - 1) ← in factored form