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Chapter 5: Problem 60

Find each product. In each case, neither factor is a monomial. $$(x+4)(x-6)$$

Short Answer

Expert verified
The result is \(x^2 - 2x - 24\).

Step by step solution

01

Apply the FOIL Method - First terms

Multiply the first terms of each binomial: \(x * x = x^2\).
02

Apply the FOIL Method - Outer terms

Multiply the outer terms of each binomial: \(x * -6 = -6x\).
03

Apply the FOIL Method - Inner terms

Multiply the inner terms of each binomial: \(4 * x = 4x\).
04

Apply the FOIL Method - Last terms

Multiply the last terms of each binomial: \(4 * -6 = -24\).
05

Summarize All Four Products

Collect each product together from steps 1-4. The result is \(x^2 - 6x + 4x - 24\).
06

Simplify the Expression

Combine like terms. In this case, combine the middle terms \(-6x + 4x\) to find the final answer, which will be \(x^2 - 2x - 24\).

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