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Algebra 7 Point 2
- 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
- 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