Multiplying Polynomials: Understanding Methods and Applications
Explore the concept of multiplying polynomials through methods like distributive property and FOIL. Learn to apply polynomial multiplication in real-life scenarios. Practice with examples and a real-life model to enhance understanding.
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Presentation Transcript
Section 10.2 Multiplying Polynomials Objectives: Multiply two polynomials Use polynomial multiplication in real-life situations
Multiplying Polynomials O Multiplying two polynomials requires each term of the first polynomial to be multiplied through the second polynomial. O 3 methods O Distributive property O FOIL O Vertical method
Distributive property ( ) + 2 O EX: 3 2 5 3 x x x ( ) + 2 3 2 O 1. 7 2 1 w w w w
FOIL First, Outside, Inside, Last ( )( ) 7 8 x x + + O EX:
EX: Find the product ( )( ) 2 3 4 7 x x + O 2. ( )( ) + 7 3 7 x x O 3.
Vertical method O EX: + 2 5 10 2 x x x
EX: Find the product ( )( ) O 4. + + 2 2 5 9 4 x x x 2 5 3 6 5 x x x O 5.
EX: Find the product )( 4 1 8 3 x x + ) ( 2 O 6. ( )( ) + + 2 2 2 8 3 5 x x x O 7.
Real-life model O 8. You want to make a table top where the length to width ratio is 5:4. The trim of the table top adds 2 inches to the width and 1 inch to the length. O A)Write a polynomial expression that represents the total area of the table top including the trim. O B)Find the area when x = 3
Multiplying Polynomials WS 25 questions
