# = 6x2 – 5x – 21 = x2 – 121 = 5(2x + 5) = 7x(4x + 5) = (x2 + 4) (x + 2)

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= 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)

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

More Warm-up Simplify the fraction Standard: MM1A3e

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

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

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

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

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

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

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

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

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

Practice #7 Standard: MM1A3e

Practice #8 Standard: MM1A3e

Practice #9 Standard: MM1A3e

Practice #10 Standard: MM1A3e

Practice #11 Standard: MM1A3e

Practice #12 Standard: MM1A3e

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