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7.2 Greatest Common Monomial Factor Objective:   ,[object Object],Frameworks:   10.P.3, 10.P.5
What is the area of this rectangle? x y 5
What is the area of this rectangle? 5x + 5y    OR  5(x + y) x y 5
Factoring The distributive property can be used to multiply a polynomial by a monomial: 2(x2 – 3x – 5) = 2x2 – 6x - 10 The distributive property can also be used to factor polynomials: 3x2 – 9x + 6  = 3(x2 – 3x + 2)
Factor out the GCF from 5y2 + 10y + 20 Find the GCF: 5y2 – 5*y2 10y = 5*2y 20 = 5*4 Write each term as a product of 5 and a monomial: 5(y2) + 5(2y) +5*(4) Use the distributive property: 5(y2 + 2y +4)
Factor out the GCF from    t5 + 8t4 + t3
Factor out the GCF from    2b4 – 10b3 + 8b2
Factor out the GCF from    24a2b5 – 8a7b6 + 12a4b3
Find the area of the shaded region: Write the result in factored form. Area of square: Area of circle: r
Do p. 250 1-20
FOIL With Negatives (x - 3)(x - 5) First terms:   x and x         x2 Outside terms:  x and 5            -5x Inside terms:  3 and x               -3x Last terms:  3 and 5                          15 Answer:                             x2 + -8x + 15

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Algebra 7 Point 2

  • 1.
  • 2. What is the area of this rectangle? x y 5
  • 3. What is the area of this rectangle? 5x + 5y OR 5(x + y) x y 5
  • 4. Factoring The distributive property can be used to multiply a polynomial by a monomial: 2(x2 – 3x – 5) = 2x2 – 6x - 10 The distributive property can also be used to factor polynomials: 3x2 – 9x + 6 = 3(x2 – 3x + 2)
  • 5. Factor out the GCF from 5y2 + 10y + 20 Find the GCF: 5y2 – 5*y2 10y = 5*2y 20 = 5*4 Write each term as a product of 5 and a monomial: 5(y2) + 5(2y) +5*(4) Use the distributive property: 5(y2 + 2y +4)
  • 6. Factor out the GCF from t5 + 8t4 + t3
  • 7. Factor out the GCF from 2b4 – 10b3 + 8b2
  • 8. Factor out the GCF from 24a2b5 – 8a7b6 + 12a4b3
  • 9. Find the area of the shaded region: Write the result in factored form. Area of square: Area of circle: r
  • 10. Do p. 250 1-20
  • 11.
  • 12. FOIL With Negatives (x - 3)(x - 5) First terms: x and x x2 Outside terms: x and 5 -5x Inside terms: 3 and x -3x Last terms: 3 and 5 15 Answer: x2 + -8x + 15