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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 36 Page 26

The area of a triangle is found by the formula A= 12bh.

A=3x^2+7/2x-3/2

Practice makes perfect

We know that the area of a triangle is calculated by taking half the product of the base b and the height h. A=1/2 b h We are given that a triangle has a base of 2x+3 and a height of 3x-1. Let's substitute the expressions into the formula and find the product using the FOIL Method.

A=1/2bh

SubstituteExpressions

Substitute expressions

A=1/2( 2x+3)( 3x-1)

▼

Simplify right-hand side

Multiply parentheses

A=1/2[(2x)(3x)+(2x)(- 1)+(3)(3x)+(3)(- 1)]

Multiply

A=1/2[6x^2-2x+9x-3]

Add terms

A=1/2[6x^2+7x-3]

Distribute 1/2

A=3x^2+7/2x-3/2

The area of the triangle is 3x^2+ 72x- 32.

Subchapter links

Exercises p.25-27