Section 8 – 2 Multiplying &

FactoringObjectives:

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 ?

A) C)

B) D)

Problem #1 Multiplying a Monomial and a Trinomial

B) What is a simpler form of ?

Simplify each expression.1)

2)

Problem #1Got It?

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

Problem #2 Finding the Greatest Common Factor

A)What is the GCF of the terms of

?

Problem #2 Finding the Greatest Common Factor

B)What is the GCF of the terms of

?

Find the GCF of the terms of each polynomial?1)

2)

Problem #2Got It?

xxx 18126 23

24 64 aa

Problem #3 Factoring Out a Monomial

A) What is the factored form of ?

Problem #3 Factoring Out a Monomial

B) What is the factored form of ?

Problem #3Got It?

Factor each polynomial.

1) 6 2)

HOMEWORKTextbook Page 495;

#10 – 26 Even

Section 8 – 2 Continued…

Objectives:To multiply and factor polynomials

Problem # 4 Factoring a Polynomial

ModelA) A helicopter landing pad, or helipad, is sometimes marked with a circle Inside a square so that it is visibleFrom the area. What is the areaOf the shaded region of the helipad at the right? Write your Answers in factored form.

Problem # 4 Factoring a Polynomial

ModelB) 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.

Problem # 4 Factoring a Polynomial

ModelC) 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.

HOMEWORKComplete 8 – 2 Worksheet