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8.2 Multiplying and Factoring

8.2 Multiplying and Factoring . Objective: SWBAT distribute a monomial to a polynomial; students will also be able to factor out a monomial. Mini Quiz 2. 1. 2. What is the probability that one student will chose the tiger as the new mascot? . CAHSEE Review. Overview.

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8.2 Multiplying and Factoring

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  1. 8.2 Multiplying and Factoring Objective: SWBAT distribute a monomial to a polynomial; students will also be able to factor out a monomial.

  2. Mini Quiz 2 1. 2. What is the probability that one student will chose the tiger as the new mascot?

  3. CAHSEE Review

  4. Overview • Multiplying Monomials times a polynomial • Distribute • Factoring Out a Monomial • Find Common Factor

  5. Multiplying a Monomial – Quick Review Multiply the following: • x · x • x · x · x • -2x · x3 · 2y2 • 4x · -3y2 · x3 · -y5 x2 x3 -4x4y2 12x4y7

  6. Multiplying a Monomial - Distribute 5x2 – 4x 10y3 + 15y2 – 20y -6n5 – 12n3 + 10n2 -20y6 + 12y4 – 8y2 2x3 – 12x2 + 10x • x(5x – 4) • 5y(2y2 + 3y – 4) • -2n2(3n3 + 6n – 5) • -4y2(5y4 – 3y2 + 2) • 2x(x2 – 6x + 5)

  7. Factoring a Monomial – Venn Diagrams • Break it down! • Put what the have in common in the middle • Put what’s left over in the circle below 5x2 25xy 5•5•x•y 5•x•x GCF x 5x 5y

  8. Factoring a Monomial – Common Factor Find the greatest common factor (GCF) between the terms • 8x and 2x2 • 4x3 and 12x2 • 3y2, 6y3, and 9y7 2x 4x2 3y2

  9. Factoring a Monomial – Reverse Distribute Factor • 8x2 – 12x • 5d3 + 10d • 3x3 – 12x2 + 15x • 6m3 – 12m2 – 24m 4x(2x – 3) 5d(d2 + 2) 3x(x2 – 4x + 5) 6m(m2 – 2m – 4)

  10. Wrap Up • Multiplying Monomials times a polynomial • Distribute • Factoring Out a Monomial • Find Common Factor • Reverse Distribute HW: P. 377 #1-29 EOO, 49-63 odd DLUQ: How do you factor a monomial?

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