Simplifying Rational Expressions

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Presentation transcript:

Simplifying Rational Expressions (Hint:Do you see anything you can factor?) x2 + 5x + 6 x + 2 = (x+2)(x+3) = x+3

Simplifying Rational Expressions b) 2x2 + 7x + 6 x + 2 = (2x+3)(x+2) = 2x+3

Simplifying Rational Expressions c) 2x2 + 8x + 8 x + 2 = 2(x2 + 4x +4) = 2(x + 2)(x + 2) = 2(x + 2)

Simplifying Rational Expressions d) 2x6 – 14x3 2x3 = 2x3 (x3 – 7) = x3 – 7 OR since 2x6 / 2x3 = x3 and 14x3 / 2x3 = 7 = x3 – 7

Simplifying Rational Expressions 1. x2 + 3x - 54 x + 9 2. 2x2 + 5x - 12 2x – 3 3. 5x2 + 55x + 150 x + 5 4. 35x -21 5x – 3 5. x2 + 14x + 48 x + 6 6. x2 -12x +32 x - 8 Answers X - 6 X + 4 5(x + 6) 7 X + 8 X - 4