## Algebra 1

Published by Prentice Hall

# Chapter 8 - Polynomials and Factoring - 8-5 Factoring X(squared) + bx + c - Practice and Problem-Solving Exercises - Page 805: 49

(x+25)(x+2)

#### Work Step by Step

Given the polynomial $x^{2}$ + 27x +50 *** We break of the middle term into two factors that add to give +27 and multiply to give +50. The two numbers are +25 and +2. $x^{2}$ + 25x + 2x +50 We take the GCD of the first two and the GDC of the last two terms. x(x+25) +2(x+25) We take (x+25) and factor it out which gives us. (x+25)(x+2)

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