Multiplying Polynomials Section 7.2. What You Will Learn  Multiply binomials.  Use the FOIL Method.  Multiply binomials and trinomials.

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Presentation transcript:

Multiplying Polynomials Section 7.2

What You Will Learn  Multiply binomials.  Use the FOIL Method.  Multiply binomials and trinomials.

Multiplying Binomials Using the Distributive Property (x + 2)(x + 5)

Multiplying Binomials Using the Distributive Property (x + 3)(x − 4)

Multiplying Binomials Using the Distributive Property(you Try)  1. (y + 4)(y + 1) 2. (z − 2)(z + 6)

Multiplying Binomials Using a Table (2x − 3)(x + 5)

Multiplying Binomials Using a Table  (n + 2)(n + 3)

Multiplying Binomials Using a Table  1. (p + 3)(p − 8) 2. (r − 5)(2r − 1)

Multiplying Binomials Using the FOIL Method (x +1)(x +2)

Multiplying Binomials Using the FOIL Method  (x − 3)(x − 6)

Multiplying Binomials Using the FOIL Method  (2x + 1)(3x − 5)

Multiplying Binomials Using the FOIL Method 1.(m – 3)(m − 7) 2.(x − 4)(x + 2) 3.(2u + 1) (u – 3) 4.(n + 2)(n2 + 3)

Multiplying a Binomial and a Trinomial (x + 5)(x2 − 3x − 2).

Bell work

 The polynomial −16t 2 + v 0 t + s 0 represents the height (in feet) of an object, where v 0 is the initial vertical velocity (in feet per second), s 0 is the initial height of the object (in feet), and t is the time (in seconds). In Exercises 51 and 52, write a polynomial that represents the height of the object. Then find the height of the object after 1 second.

The football field is rectangular. 1.Write a polynomial that represents the area of the football field. 2.Find the area of the football field when the width is 160 feet.

 When multiplying two binomials, explain how the degree of the product is related to the degree of each binomial.

The shipping container is a rectangular prism. Write a polynomial that represents the volume of the container.