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Published byGrace Dempsey Modified over 2 years ago

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Find the product. 1.(2x + 3)(3x – 7) 2.(x – 11)(x + 11) = 6x 2 – 5x – 21 = x 2 – 121 = 5(2x + 5) Factor x x x 5. x 3 + 2x 2 + 4x + 8 = 7x(4x + 5) = (x 2 + 4) (x + 2) 6.x x x 2 – 4x – 32 = (x + 6) (x + 5) = (x + 4) (x – 8)

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

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More Warm-up Simplify the fraction Standard: MM1A3e

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

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

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

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

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

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

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

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

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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

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Practice #7 Standard: MM1A3e

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Practice #8 Standard: MM1A3e

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Practice #9 Standard: MM1A3e

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Practice #10 Standard: MM1A3e

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Practice #11 Standard: MM1A3e

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Practice #12 Standard: MM1A3e

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