Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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**Understanding FOIL Method:**

Use FOIL to find the product of the binomials.

Given problem:
\[
(2x - 8)(x - 7)
\]

**Answer Choices:**

1. \(2x^2 - 22x + 56\)
2. \(x^2 + 56x - 22\)
3. \(2x^2 - 23x + 56\)
4. \(x^2 - 22x - 23\)

FOIL stands for First, Outside, Inside, Last, which represents the steps to multiply two binomials.

1. **First:** Multiply the first terms in each binomial.
2. **Outside:** Multiply the outer terms in the expression.
3. **Inside:** Multiply the inner terms.
4. **Last:** Multiply the last terms in each binomial.

Combine all the terms to simplify and obtain the final product.
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Transcribed Image Text:**Understanding FOIL Method:** Use FOIL to find the product of the binomials. Given problem: \[ (2x - 8)(x - 7) \] **Answer Choices:** 1. \(2x^2 - 22x + 56\) 2. \(x^2 + 56x - 22\) 3. \(2x^2 - 23x + 56\) 4. \(x^2 - 22x - 23\) FOIL stands for First, Outside, Inside, Last, which represents the steps to multiply two binomials. 1. **First:** Multiply the first terms in each binomial. 2. **Outside:** Multiply the outer terms in the expression. 3. **Inside:** Multiply the inner terms. 4. **Last:** Multiply the last terms in each binomial. Combine all the terms to simplify and obtain the final product.
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