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Study Guide and Intervention (continued) - MathnMind

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12-5<br />

NAME ______________________________________________ DATE ____________ PERIOD _____<br />

<strong>Study</strong> <strong>Guide</strong> <strong>and</strong> <strong>Intervention</strong><br />

Dividing Polynomials<br />

Divide Polynomials by Monomials To divide a polynomial by a monomial, divide<br />

each term of the polynomial by the monomial.<br />

Find (4r2 12r) 2r.<br />

(4r2 12r) 2r <br />

<br />

4r 12r<br />

2r<br />

Divide each term.<br />

Simplify.<br />

2r 6 Simplify.<br />

2<br />

4r 12r<br />

<br />

2r<br />

<br />

2r<br />

2<br />

4r<br />

<br />

2r<br />

2 Find (3x<br />

12r<br />

<br />

2r<br />

2 8x 4) 4x.<br />

(3x2 8x 4) 4x <br />

<br />

<br />

2 1 3x 8x 4<br />

<br />

4x 4x<br />

3x<br />

<br />

4 x<br />

2<br />

3x 8x 4<br />

<br />

4x 4x<br />

<br />

4x<br />

2<br />

3x<br />

<br />

4x<br />

2 Example 1 Example 2<br />

8x 4<br />

<br />

4x<br />

2r 6<br />

1 1<br />

3x 2 1<br />

4 1 x<br />

Exercises<br />

Find each quotient.<br />

1. (x 3 2x 2 x) x 2. (2x 3 12x 2 8x) 2x<br />

3. (x 2 3x 4) x 4. (4m 2 6m 8) 2m 2<br />

5. (3x 3 15x 2 21x) 3x 6. (8m 2 n 2 4mn 8n) n<br />

7. (8y 4 16y 2 4) 4y 2 8. (16x 4 y 2 24xy 5) xy<br />

10a<br />

9. 10.<br />

2 15x b 12ab 8b<br />

<br />

2a<br />

2 25x 30<br />

<br />

5<br />

m<br />

11. 12.<br />

2 6x 12m 42<br />

<br />

3m2 3 9x2 9<br />

<br />

3x<br />

p<br />

13. 14.<br />

2 4pq 6q2 m<br />

<br />

pq<br />

2n2 5mn 6<br />

<br />

m2n2 2x<br />

15. 16.<br />

2y3 4x2y2 6a 8xy<br />

<br />

2xy<br />

2b2 8ab 12<br />

<br />

2a 2<br />

17. 18. 2a3b3 8a2b2 10ab 12<br />

<br />

2a2b2 9x2y2z 2xyz 12x<br />

<br />

xy<br />

© Glencoe/McGraw-Hill 729 Glencoe Algebra 1<br />

Lesson 12-5

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