Algebra 1

Published by Prentice Hall

Chapter 8 - Polynomials and Factoring - Chapter Review - 8-5 and 8-6 Factoring Quadratic Trinomials - Page 525: 56

(2v-1)(5v+8)

Work Step by Step

Given the polynomial $10v^{2}$ + 11v - 8 *** We break of the middle term into two factors that add to give +11 and multiply to give -80. The two numbers are +16 and -5. $10v^{2}$ - 5v + 16v - 8 We take the GCD of the first two and the GCD of the last two terms. 5v(2v-1) +8(2v-1) We take (2v-1) and factor it out which gives us. (2v-1)(5v+8)

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