QuestionAugust 27, 2025

Instructions Factor the polynomial expression. x^2-7x-60 Answer: square

Instructions Factor the polynomial expression. x^2-7x-60 Answer: square
Instructions Factor the polynomial expression.
x^2-7x-60
Answer: square

Solution
4.4(267 votes)

Answer

(x - 12)(x + 5) Explanation 1. Identify the factors of the constant term Find two numbers that multiply to -60 and add to -7. 2. Determine the correct pair of factors The numbers are -12 and 5 because (-12) \times 5 = -60 and (-12) + 5 = -7. 3. Write the factored form Use the factors to express the polynomial as (x - 12)(x + 5).

Explanation

1. Identify the factors of the constant term<br /> Find two numbers that multiply to $-60$ and add to $-7$.<br />2. Determine the correct pair of factors<br /> The numbers are $-12$ and $5$ because $(-12) \times 5 = -60$ and $(-12) + 5 = -7$.<br />3. Write the factored form<br /> Use the factors to express the polynomial as $(x - 12)(x + 5)$.
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