Download presentation
Presentation is loading. Please wait.
Published bySamuel Nash Modified over 9 years ago
1
Multiplying Polynomials December 1, 2014 Pages 40 – 41 in Notes
2
Warm-Up – Left Side Simplify. (Distribute and Combine Like Terms if possible) x(2x – 1) 3(2x – 1) x(2x – 1) + 3(2x – 1) x(x 2 + 4x + 16) -4(x 2 + 4x + 16) x(x 2 + 4x + 16) – 4(x 2 + 4x + 16)
3
Objective add, subtract, and multiply polynomials.[7B]
4
Essential Question How will multiplying polynomials help me with quadratic functions?
5
Multiplying polynomials is… just like creating multiple distributions, doing the distributions, and then combining like terms to simplify. “Like” terms = exact same variables to the exact same powers. Combine by adding the coefficients.
6
How do we do this? Multiply each term in the first polynomial by all terms in the second.
7
Example 1 (4x + 1)(3x – 2) 4x(3x – 2) + 1(3x – 2) 12x 2 – 8x + 3x – 2 12x 2 – 5x – 2
8
Example 2 (x + 2)(x 2 + 3x – 1) x(x 2 + 3x – 1) + 2(x 2 + 3x – 1) x 3 + 3x 2 – x + 2x 2 + 6x – 2 x 3 + 5x 2 + 5x – 2
9
Example 3 xy(5x 2 + 8x – 7) 5x 3 y + 8x 2 y – 7xy
10
Example 4 (3x – 2y)(2x 2 + 3xy – y 2 ) 3x(2x 2 + 3xy – y 2 ) – 2y(2x 2 + 3xy – y 2 ) 6x 3 + 9x 2 y – 3xy 2 – 4x 2 y – 6xy 2 + 2y 3 Combine Like Terms: 6x 3 + 5x 2 y – 9xy 2 + 2y 3
11
Assignment 1.7x 3 (2x + 3) 2.3x 2 (2x 2 + 9x – 6) 3.xy 2 (x 2 + 3xy + 9) 4.2m 2 (6m 3 + 14m 2 – 30m + 14) 5.(x – y )(x 2 – xy + y 2 ) 6.(2x + 5y)(3x 2 – 4xy + 2y 2 ) 7.(x 3 + x 2 + 1)(x 2 – x – 5) 8.(4x 2 + 3x + 2)(3x 2 + 2x – 1)
12
Reflection – Left Side Write about one way you think we might use multiplying polynomials while studying quadratic functions.
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.