7z2−38z+15 Select the factors of this quadratic expression.

(7z-3)(z-5)

Step-by-step explanation:

7z^2-38z+15

(7z-3)(z-5)

(z - 5)(7z - 3)

Step-by-step explanation:

Given

7z² - 38z + 15

Consider the product of the factors of the coefficient of the z² term and the constant term which sum to give the coefficient of the z- term

product = 7 × 15 = 105 and sum = - 38

The factors are - 35 and - 3

Use these factors to split the z- term

7z² - 35z - 3z + 15 ( factor the first/second and third/fourth terms )

= 7z(z - 5) - 3(z - 5) ← factor out (z - 5) from each term

= (z - 5)(7z - 3) ← in factored form

step-by-step explanation:

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