Multiplying and Factoring Polynomials

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Presentation transcript:

Multiplying and Factoring Polynomials Algebra

AIM I can multiply and factor polynomial expressions. TOPIC: Factoring Out a GCF

Remember to add exponents when multiplying!! DO NOW Remember to add exponents when multiplying!! Area = Area =

Thinking Further… Area =

Reviewing Exponent Rules Part A: 5ab • 4c 3x2 • 4x3y • 5y2 Part B: 3c (5a + 7b) (6k + 4k3) • 5k How do these processes compare to one another?

Multiplying Binomials Find the product of (x – 4) and (2x + 3)

Squaring a Binomial The expression (2a + 3)2 is equivalent to:

The area of the rectangle is 3a2 + 3a square units as shown below. Working Backwards… The area of the rectangle is 3a2 + 3a square units as shown below. Based on this area, find a possible length and width of the rectangle in terms of a.

ommon actor G C F reatest DEFINITION: G reatest ommon actor C F Talk to your partner and develop a definition of the term above. Write the definition on a dry erase board.

Finding and Using a GCF Polynomial ANSWER!! 10ab + 5a Identify the GCF USE the GCF (Divide) ANSWER!! 10ab + 5a 3g3h – 9g2h + 12h

EXIT TICKET Factor the following expression: 6x6 + 2x2 – 2x