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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 47 Page 26

To find the product, use the Distributive Property.

Example Solution: (x+1), (x^2+2x+1)
Example Product: x^3+3x^2+3x+1

Practice makes perfect

Consider the following binomial and trinomial, they involve a single variable, x. Binomial: & x+1 Trinomial:& x^2+2x+1 To find their product, we will use the Distributive Property.

( x+1)( x^2+2x+1)

Distribute ( x^2+2x+1)

x( x^2+2x+1) +1( x^2+2x+1)

Distribute x

x^3+2x^2+x+1(x^2+2x+1)

Identity Property of Multiplication

x^3+2x^2+x+x^2+2x+1

Add terms

x^3+3x^2+3x+1

Please note that there are infinitely many solutions to this exercise. Here we are only showing one possibility.

Subchapter links

Exercises p.25-27