Mastering Polynomials: Techniques for Efficient Multiplication
Explore the world of polynomial multiplication with techniques like using the FOIL method, distributive property, and tables. Practice with a variety of examples to enhance your skills in multiplying binomials and trinomials effectively.
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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 1. (d + 6)(2d2 d + 7) 2. ( 6d3+ 3d2+ 4d) (10d3+ 7d 2)
The polynomial 16t 2 + v0 t + s0 represents the height (in feet) of an object, where v0 is the initial vertical velocity (in feet per second), s0 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.
