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**Divide a polynomial by a binomial**

EXAMPLE 2 Divide a polynomial by a binomial Divide x2 + 2x – 3 by x – 1. SOLUTION STEP 1 Divide the first term of x2 + 2x – 3 by the first term of x – 1. x x – 1 x2 + 2x – 3 Think: x x = ? x2 – x Multiply x and x – 1. 3x Subtract x2 – x from x2 + 2x.

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**Divide a polynomial by a binomial**

EXAMPLE 2 Divide a polynomial by a binomial STEP 2 Bring down –3. Then divide the first term of 3x – 3 by the first term of x – 1. x – 1 x2 + 2x – 3 x2 – x 3x – 3 x + 3 Think: 3x x = ? 3x – 3 Multiply 3 and x – 1. Subtract 3x – 3 from 3x – 3. ANSWER (x2 + 2x – 3) (x – 1) = x + 3

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**Divide a polynomial by a binomial**

EXAMPLE 3 Divide a polynomial by a binomial Divide 2x2 + 11x – 9 by 2x – 3. x 2x2 –3x 14x – 21 + 7 2x – 3 2x2 + 11x – 9 Multiply x and 2x – 3. 14x – 9 Subtract 2x2 – 3x. Bring down – 9. Multiply 7 and 2x – 3. 12 Subtract 14x – 21. ANSWER (2x x – 9) (2x – 3) = x + 7 + 12 2x – 3

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GUIDED PRACTICE for Examples 2 and 3 Divide: (a2 + 3a – 4) (a + 1) a + 2 + ANSWER – 6 a + 1 Divide: (9b2 + 6b + 8) (3b – 4) ANSWER 3b + 6 + 32 3b – 4

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