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# Algebra 7 Point 2

## on Feb 26, 2010

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## Algebra 7 Point 2Presentation Transcript

• 7.2 Greatest Common Monomial Factor
Objective:
• To factor out the greatest common monomial factor from a polynomial
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