1. = 6x2 – 5x – 21 = x2 – 121 = 5(2x + 5) = 7x(4x + 5) = (x2 + 4) (x + 2)
Find the product.
(2x + 3)(3x – 7)
(x – 11)(x + 11)
= 6x2 – 5x – 21
= x2 – 121
Factor.
3. 10x + 25
4. 28x2 + 35x
5. x3 + 2x2 + 4x + 8
= 5(2x + 5)
= 7x(4x + 5)
= (x2 + 4) (x + 2)
x2 + 11x + 30
7. x2 – 4x – 32
= (x + 6) (x + 5)
= (x + 4) (x – 8)

2. More warm-up Solve the following equation (USE Factoring)

3. More Warm-up
Simplify the fraction
Standard: MM1A3e

4. Simplifying rational expressions
A fraction whose numerator and denominator are nonzero polynomials
Standard: MM1A3e

5. Simplest Form
When a rational expression’s numerator and denominator have no factors in common (other than 1).
Process: Factor, then cancel.
Standard: MM1A3e

6. 1. Simplify a Rational Expression
Reduce the numbers and subtract the exponents.
Where the larger one is, is where the leftovers go.
Standard: MM1A3e

7. 2. Simplify a Rational Expression
Factor the top
Cross out the common factor x.
Standard: MM1A3e

8. 3. Simplify a Rational Expression
Factor the bottom
Cross out the common factor x.
Standard: MM1A3e

9. 4. Simplify a Rational Expression
Factor the top
Cross out the common factors of 5 and x.
Standard: MM1A3e

10. 5. Simplify a Rational Expression
Factor the top and bottom
Cross out the common factor (x + 4)
Standard: MM1A3e

11. Recognize Opposite Factors
When you have opposite factors, you will have to factor out a negative so that you can cancel.
Standard: MM1A3e

12. 6. Opposite Factors Factor the bottom
(1 – x) on the top and (x – 1) on the bottom are opposites. Factor out a negative so they will cancel.
Standard: MM1A3e

13. Practice #7
Standard: MM1A3e

14. Practice #8
Standard: MM1A3e

15. Practice #9
Standard: MM1A3e

16. Practice #10
Standard: MM1A3e

17. Practice #11
Standard: MM1A3e

18. Practice #12
Standard: MM1A3e