Algebra 1

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

Chapter 8 - Polynomials and Factoring - Mid-Chapter Quiz: 26

Answer

15x + 10

Work Step by Step

Larger Rectangle: A= (x+6)(x+3) Use FOIL to simplify. FOIL: First (Multiply the first variables in the brackets), outside (Multiply the outer variables), Inside (Multiply the inside variables), Last (Multiply the last variables in the brackets). $A= x^{2} + 6x + 3x + 18$ *** Add like terms $A= x^{2} + 9x + 18 $ Smaller Rectangle: A= (x-4)(x-2) Use FOIL to simplify. FOIL: First (Multiply the first variables in the brackets), outside (Multiply the outer variables), Inside (Multiply the inside variables), Last (Multiply the last variables in the brackets). $A= x^{2} - 4x - 2x + 8 $ *** Add like terms $A= x^{2} - 6x + 8 $ Final Area: subtract Area of larger rectangle from Area of smaller rectangle $A= x^{2} + 9x + 18) - ( x^{2} - 6x + 8 ) $ $A= x^{2} + 9x + 18 - x^{2} + 6x - 8 $ $A= x^{2}- x^{2} + 9x + 6x - 8 + 18 $ $A= 15x + 10 $
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