6) What is the product of (x+ 3) and (x + 2)? Answer:

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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### Polynomial Multiplication Exercise

#### Question 6:

What is the product of (x + 3) and (x + 2)?

**Answer:** _______________________

---

This exercise involves multiplying two binomials. To find the product of the binomials (x + 3) and (x + 2), you will use the distributive property (also known as the FOIL method): 

1. **First:** Multiply the first terms in each binomial.
   - \( x \cdot x = x^2 \)
2. **Outer:** Multiply the outer terms in the binomials.
   - \( x \cdot 2 = 2x \)
3. **Inner:** Multiply the inner terms in the binomials.
   - \( 3 \cdot x = 3x \)
4. **Last:** Multiply the last terms in each binomial.
   - \( 3 \cdot 2 = 6 \)

Combine these results:

\[ x^2 + 2x + 3x + 6 \]

Then, combine like terms:

\[ x^2 + 5x + 6 \]

So, the product of \((x + 3)\) and \((x + 2)\) is \( x^2 + 5x + 6 \).

Write the final answer in the provided blank space.
Transcribed Image Text:### Polynomial Multiplication Exercise #### Question 6: What is the product of (x + 3) and (x + 2)? **Answer:** _______________________ --- This exercise involves multiplying two binomials. To find the product of the binomials (x + 3) and (x + 2), you will use the distributive property (also known as the FOIL method): 1. **First:** Multiply the first terms in each binomial. - \( x \cdot x = x^2 \) 2. **Outer:** Multiply the outer terms in the binomials. - \( x \cdot 2 = 2x \) 3. **Inner:** Multiply the inner terms in the binomials. - \( 3 \cdot x = 3x \) 4. **Last:** Multiply the last terms in each binomial. - \( 3 \cdot 2 = 6 \) Combine these results: \[ x^2 + 2x + 3x + 6 \] Then, combine like terms: \[ x^2 + 5x + 6 \] So, the product of \((x + 3)\) and \((x + 2)\) is \( x^2 + 5x + 6 \). Write the final answer in the provided blank space.
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