Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 5 - Polynomials and Polynomial Functions - 5-6 The Fundamental Theorem of Algebra - Practice and Problem-Solving Exercises - Page 324: 63

Answer

$x^2 - 2x + 1$

Work Step by Step

We expand the polynomial first so that we can work with it more easily: $(x - 1)(x - 1)$ Let us use the FOIL method to expand the polynomial. First, we multiply the first terms; then, we multiply the outer terms; then, we multiply the inner terms; finally, we multiply the last terms: $(x)(x) - (1)(x) - (1)(x) - (-1)$ Simplify the terms: $x^2 - x - x + 1$ Combine like terms: $x^2 - 2x + 1$ This is the standard form of this polynomial.
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