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2 years ago

Solve by factoring

Mathematics

2 answers:

Butoxors [25]2 years ago

7 0

Answer:

A. -5/4, 9

Step-by-step explanation:

The solution is in the picture

Travka [436]2 years ago

4 0

Answer:

Step-by-step explanation:

Given

4m² - 31m - 45 = 0

Consider the factors of the product of the coefficient of the m² term and the constant term which sum to give the coefficient of the m- term

product = 4 × - 45 = - 180 and sum = - 31

The factors are - 36 and + 5

Use these factors to split the m- term

4m² - 36m + 5m - 45 = 0 ( factor the first/second and third/fourth terms )

4m(m - 9) + 5(m - 9) = 0 ← factor out (m - 9) from each term

(m - 9)(4m + 5) = 0

Equate each factor to zero and solve for m

m - 9 = 0 ⇒ m = 9

4m + 5 = 0 ⇒ 4m = - 5 ⇒ m = - $\frac{5}{4}$

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Answer:

Step-by-step explanation:

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