Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 8 - Polynomials and Factoring - 8-5 Factoring X(squared) + bx + c - Practice and Problem-Solving Exercises: 51

Answer

(k-21)(k+3)

Work Step by Step

Given the polynomial $k^{2}$ -18k - 63 *** We break of the middle term into two factors that add to give -18 and multiply to give -63. The two numbers are -21 and +3. $k^{2}$ -21k +3k - 63 We take the GCD of the first two and the GDC of the last two terms. k(k-21) +3(k-21) We take (k-21) and factor it out which gives us. (k-21)(k+3)
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