## Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 8 - Polynomials and Factoring - 8-3 Multiplying Binomials - Practice and Problem-Solving Exercises - Page 502: 45

#### Answer

i. The answer is $x^{2}$ + $2x$ + $1$ or $(x+1)^{2}$. The other answer (11 *11) is 121. ii. The answer is $x^{2}$ + $3x$ + $2$. The other answer is (11*12) is 132. iii. The answer is $x^{2}$ + $4x$ + $3$. The other answer is (11*13) is 143.

#### Work Step by Step

i. You have to multiply (x + 1)(x + 1) and you get $x^{2}$ + $2x$ + $1$ and $(x+1)^{2}$. For the other answer, it's the same thing; you multiply 11*11 = 121. ii. You have to multiply (x + 1)(x + 2) and you get $x^{2}$ + $3x$ + $2$. For the other answer, it's the same thing; you multiply 11*12 = 132. iii. You have to multiply (x + 1)(x + 3) and you get $x^{2}$ + $4x$ + $3$. For the other answer, it's the same thing; you multiply 11*13 = 143.

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