McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
6. Solving x^2+bx+c=0
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Exercise 38 Page 50

Factor the given expression.

P=4x+48

Practice makes perfect

We want to write an expression for the perimeter of a rectangle whose area is represented by the equation below. A=x^2+24x-81We know that the area A can be calculated by multiplying the length by the width. Thus, x^2+24x-81 should be factored.

x^2+24x-81
x^2-3x+27x-81
â–¼
Factor out x & 27
x(x-3)+27x-81
x(x-3)+27(x-3)
(x+27)(x-3)=0

These factors represents the width and the length of the rectangle. Now, we can write an expression for the perimeter. The perimeter is twice the sum of the length and width. P=2(x+27+x-3) ⇕ P=4x+48