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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)
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
When a rational expressions 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
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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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Find the product. 1.(x + 4)(x + 7) 2.(x + 14)(x + 2) = x x + 28 = 5(2x + 5) Factor x x x 5. x 3 + 2x 2 + 4x + 8 = 7x(4x + 5)
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+ Lesson 6-8: Cross Multiplication Objective: We will learn to use cross multiplication to solve a proportion. We will use cross multiplication to check.
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Finding a Common Denominator : : 3,6,9,12,15,18… 5,10,15,20,25,30… Now you have found the LCM. First you need to find the LCM. Now you need.
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