Algebra 1

Published by Prentice Hall

Chapter 9 - Quadratic Functions and Equations - 9-1 Quadratic Graphs and Their Properties - Standardized Test Prep: 56

Answer

The two dimensions are (x+2) and (x-24)

Work Step by Step

The area of a rectangle is $l \times w$ so given the area= $x^{2} -22x - 48$ we must factor them to find the l and w. Given the polynomial $x^{2} -22x - 48$ *** We break of the middle term into two factors that add to give -22 and multiply to give -48. The two numbers are -24 and +2. $x^{2} -24x + 2x - 48$ We take the GCD of the first two and the GCD of the last two terms. x(x-24) +2(x-24) We take (x-24) and factor it out which gives us. (x-24)(x+2) Therefore since Area=$l \times w$ the two dimensions are (x+2) and (x-24)

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