Question

David correctly factored the expression m^2-12m - 64.
Which expression did he write?
(1) (m - 8)(m - 8) (3) (m - 16)(m +4)
(2) (m - 8)(m + 8) (4) (m +16)(m - 4)
Explain why

Answer 1

Answer:

(m-16)(m+4)

Step-by-step explanation:

To factor a quadratic expression

First write the variable in each parentheses, then put negative/ positive, after that ask yourself what numbers have the product of the coefficient of x^0 and the sum of x^1.

Answer 2

David correctly factored the expression m^2 - 12m - 64 and got (m - 16)(m + 4).

How to factor an equation?

An equation can be factored into its factors by splitting the middle term of the equation.

The given expression can be factored as shown below:

m^2 - 12m - 64 = 0

⇒ m^2 - 16m +4m - 64 = 0

⇒ m(m - 16) + 4(m - 16) = 0

⇒ (m + 4)(m - 16) = 0

The factors of the equation m^2 - 12m - 64 = 0 are (m - 16)(m + 4).

Therefore, we have found that David correctly factored the expression m^2 - 12m - 64 and got (m - 16)(m + 4). The correct answer is option C or (3).

Learn more about factorization here: https://brainly.com/question/25829061

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