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Section 8 – 2 Multiplying & Factoring

Section 8 – 2 Multiplying & Factoring. Objectives: To multiply a monomial by a polynomial To factor a monomial from a polynomial. Problem #1 Multiplying a Monomial and a Trinomial. A) Multiple Choice: What is a simpler form of ? C) D) .

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Section 8 – 2 Multiplying & Factoring

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  1. Section 8 – 2 Multiplying & Factoring Objectives: To multiply a monomial by a polynomial To factor a monomial from a polynomial

  2. Problem #1 Multiplying a Monomial and a Trinomial A) Multiple Choice: What is a simpler form of ? • C) • D)

  3. Problem #1 Multiplying a Monomial and a Trinomial B) What is a simpler form of ?

  4. Problem #1 Got It? Simplify each expression. 1) 2)

  5. Greatest Common Factor (GCF) 1) Find the greatest number that divides evenly into the coefficients of each term 2) Determine the least exponent of each variable

  6. Problem #2 Finding the Greatest Common Factor A) What is the GCF of the terms of ?

  7. Problem #2 Finding the Greatest Common Factor B) What is the GCF of the terms of ?

  8. Problem #2 Got It? Find the GCF of the terms of each polynomial? 1) 2)

  9. Problem #3 Factoring Out a Monomial A) What is the factored form of ?

  10. Problem #3 Factoring Out a Monomial B) What is the factored form of ?

  11. Problem #3Got It? Factor each polynomial. 1) 62)

  12. HOMEWORK Textbook Page 495; #10 – 26 Even

  13. Section 8 – 2 Continued… Objectives: To multiply and factor polynomials

  14. Problem # 4 Factoring a Polynomial Model A) A helicopter landing pad, or helipad, is sometimes marked with a circle Inside a square so that it is visible From the area. What is the area Of the shaded region of the helipad at the right? Write your Answers in factored form.

  15. Problem # 4 Factoring a Polynomial Model B) A circle with a radius r is cut from a square that has side length 3r. Write an expression in factored form for the shaded area.

  16. Problem # 4 Factoring a Polynomial Model C) A circular mirror is surrounded by a square metal frame. The radius of the mirror is 5x. The side length of the metal frame is 15x. What is the area of the metal frame? Write your answer in factored form.

  17. HOMEWORK Complete 8 – 2 Worksheet

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