2. To factor polynomials by grouping termsFrameworks: 10.P.5

3. The polynomial 3x2 - 27 can be factored in 2 steps: 3x2 – 27 = 3(x2 – 9) = 3(x + 3)(x – 3) When a polynomial is factored into irreducible polynomials that have no common factor, then it is factored completely.

4. Steps in factoring completely: 1. Look for the GCF 2. Look for special cases. difference of two squares perfect square trinomial 3. If a trinomial is not a perfect square, look for two different binomial factors. 8t4 – 32t3 + 40t = 8t(t3 - 4t + 5) 4x2 – 9y2 = (2x)2 – (3y)2 x2 + 8x + 16 = x2 + 8x + 42 = (x + 4)2 6x2 + 11x – 10 = (2x + 5)(3x – 2)

5. Factor 8y3 + 12x2 + 4x

6. Factor 6x3 + 14x2 + 8x

7. Factor 3x5 – 243x

8. Factor 2m2 – 20mn + 50n2

9. Factor 5x4y – 80x2y3

10. Factor 5x – 5y + ax - ay

11. Do p. 265 1-15