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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

3. Multiplying Polynomials

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Exercise 7 Page 25

We can use the FOIL method to multiply the length and width.

4x^2+72x+320 in^2

Practice makes perfect

We want to write an expression that represents the total area of the picture and frame.

Since the frame has a width of x inches all the way around, the width and the length are 2x inches longer. w= 2x+16 & l = 2x+20 To find the product of the binomials, we need to use the FOIL Method.

( 2x+16)( 2x+20)

Multiply parentheses

(2x)(2x)+(2x)(20)+(16)(2x)+(16)(20)

Multiply

4x^2+40x+32x+320

Add terms

4x^2+72x+320

The total area of the picture and frame is 4x^2+72x+320 in^2.

Subchapter links

Exercises p.25-27