7-5 Multiply a Polynomial by a Monomial

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Presentation transcript:

7-5 Multiply a Polynomial by a Monomial Algebra 1 Glencoe McGraw-Hill Linda Stamper

You can use the distributive property to multiply a monomial by a polynomial. The problem. x(x2 + 2x + 4) x(x2) optional step + x(2x) + x(4) Distribute. + + Simplify.

Simplify. Example 1 Example 2 3m(2m2 + 4m + 6) 4y(y2 3y + 5) – Example 3 Example 4 2a2(2a3 3a2 + 3) – 3x2(8x2 5x + 2) – Example 6 Example 5 Don’t forget to write your answer in standard form – alphabetical descending order.

Simplify. Example 1 Example 2 3m(2m2 + 4m + 6) 4y(y2 3y + 5) – 3m(2m2) + 3m(4m) + 3m(6) 4y(y2 + -3y + 5) + + 4y(y2) + 4y(-3y) + 4y(5) + + Undo double signs!

Simplify. Example 4 Example 3 3x2(8x2 5x + 2) – 2a2(2a3 3a2 + 3) – 3x2(8x2 + -5x + 2) 2a2(2a3 + -3a2 + 3) 2a2(2a3) + 2a2(-3a2) + 2a2(3) 3x2(8x2) + 3x2(-5x) + 3x2(2) + + + + Undo double signs! Undo double signs!

Example 5 Example 6

Simplify. The problem. Change subtraction to addition. Distribute. Simplify.

Simplify. Example 7 Example 8

Simplify. Example 7

Simplify. Example 8

Solve. The problem. Distribute. Combine like terms. Use inverse operations to solve.

Solve. Example 9 Example 10 Example 11

Solve. Example 9

Solve. Example 10

Example 11

Homework 7-A6 Pages 392-393 #16-21,26-31,36-39,44.