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# Algebra 7 Point 2

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### Algebra 7 Point 2

1. 1. 7.2 Greatest Common Monomial Factor<br />Objective: <br /><ul><li>To factor out the greatest common monomial factor from a polynomial</li></ul>Frameworks: 10.P.3, 10.P.5<br />
2. 2. What is the area of this rectangle?<br />x<br />y<br />5<br />
3. 3. What is the area of this rectangle?<br />5x + 5y OR 5(x + y)<br />x<br />y<br />5<br />
4. 4. Factoring<br />The distributive property can be used to multiply a polynomial by a monomial:<br />2(x2 – 3x – 5) = 2x2 – 6x - 10<br />The distributive property can also be used to factor polynomials:<br />3x2 – 9x + 6 = 3(x2 – 3x + 2)<br />
5. 5. Factor out the GCF from 5y2 + 10y + 20<br />Find the GCF:<br />5y2 – 5*y2<br />10y = 5*2y<br />20 = 5*4<br />Write each term as a product of 5 and a monomial:<br />5(y2) + 5(2y) +5*(4)<br />Use the distributive property:<br />5(y2 + 2y +4)<br />
6. 6. Factor out the GCF from t5 + 8t4 + t3<br />
7. 7. Factor out the GCF from 2b4 – 10b3 + 8b2<br />
8. 8. Factor out the GCF from 24a2b5 – 8a7b6 + 12a4b3<br />
9. 9. Find the area of the shaded region:<br />Write the result in factored form.<br />Area of square:<br />Area of circle:<br />r<br />
10. 10. Do p. 250 1-20<br />
11. 11.
12. 12. FOIL With Negatives<br />(x - 3)(x - 5)<br />First terms: x and x x2<br />Outside terms: x and 5 -5x<br />Inside terms: 3 and x -3x<br />Last terms: 3 and 5 15<br />Answer: x2 + -8x + 15<br />