Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 7 - Polynomial Equations and Factoring - Chapter Review - Page 411: 24

Answer

$(x-7)(x-4)$.

Work Step by Step

The given polynomial is $=x^2-11x+28$ Rewrite $-11x$ as $-7x-4x$. $=x^2-7x-4x+28$ Group the terms. $=(x^2-7x)+(-4x+28)$ Factor each group. $=x(x-7)-4(x-7)$ Factor out $(x-7)$. $=(x-7)(x-4)$ Hence, the factor of the polynomial is $(x-7)(x-4)$.
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