body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

3. Multiplying Polynomials

Finish the assignment

Continue to next subchapter

Exercise 10 Page 25

Apply the Distributive Property.

5x^4-17x^3+9x^2+31x-20

Practice makes perfect

We want to simplify the expression by finding the product of the trinomials. To do so, we will apply the Distributive Property.

( x^2-4x+5 )( 5x^2+3x-4 )

Distribute ( 5x^2+3x-4 )

x^2( 5x^2+3x-4 )-4x( 5x^2+3x-4 )+5( 5x^2+3x-4 )

Distribute x^2

5x^4+3x^3-4x^2-4x( 5x^2+3x-4 )+5( 5x^2+3x-4 )

Distribute -4x

5x^4+3x^3-4x^2-20x^3-12x^2+16x+5( 5x^2+3x-4 )

Distribute 5

5x^4+3x^3-4x^2-20x^3-12x^2+16x+25x^2+15x-20

Add and subtract terms

5x^4-17x^3+9x^2+31x-20

Subchapter links

Exercises p.25-27