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Warm Up • Fill in the missing factor. • (3a2)( ) = 6a3 • (-2x)( ) = 8x5y • (x2y3)( ) = 5x2y • Find the GCF of the terms of the polynomial. A. 3x2 + 6x – 18 B. 4x3 – 6x2 + 12x
9.2 Part III Monomial Factors Today is the start of an important concept in algebra – factoring. We will be factoring for the rest of the year. Factoring is like doing the distributive property in reverse or “undoing” the distributive property
Factoring out the Greatest Monomial Factor of a Polynomial • Identify the GCF of the terms of the polynomial. It is possible that the GCF is 1. • Write the GCF of the terms on the outside of a left parenthesis GCF( • Write what you would need to multiply the GCF by to get the terms of the original polynomial. • Check your work by using the distributive property.
Ex1 Factor 6x – 4. • What is the GCF of the terms? 6x = 2 · 3 · x 4 = 2 · 2 The GCF = 2 • Write the GCF on the outside of a parenthesis: 2( • Write what you need to multiply 2 by to get back to the original polynomial. 2(3x – 2) Check: 2(3x – 2) = 6x - 4 Write 2, since 2(2) = 4 Write 3, since 2(3) = 6 Use – since the terms of the original polynomial are separated by a -
Ex2 Factor v2 + 4v Ex3 Factor 3x3 + 9x2
Ex4 Factor 5d3 + 10d Ex5 Factor 10y3 + 5y2 – 15y
Your turn. Factor. • 8x2 – 12x • 6m2 – 12m – 24
Assignment: worksheet 81 You must write the problems on your warm up paper and show your work. The worksheet is due at the end of the period.