§ 4.6

3
§ 4.6 Division of Polynomials

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Division of Polynomials. § 4.6. dividend. divisor. 3 t. 1. Divide 6 t 2 by 2 t . Write the quotient above the term containing the t. 6t 2 + 15 t. 2. Multiply the 3 t by 2 t + 5 . Write the product under the like terms. -16 t - 40. - PowerPoint PPT Presentation

Transcript of § 4.6

Page 1: § 4.6

§ 4.6

Division of Polynomials

Page 2: § 4.6

Angel, Elementary Algebra, 7ed 2

Dividing Polynomials

To divide a polynomial by a polynomial, use the same method as when performing long division.

40-t-6t52t

52t

40-t-6t

Divide.

2

2

dividend

divisor

1. Divide 6t 2 by 2t. Write the quotient above the term containing the t.

3t

2. Multiply the 3t by 2t + 5. Write the product under the like terms.

6t2 + 15t

3. Subtract. Bring down the remaining term.

-16t - 40

Continued.

Page 3: § 4.6

Angel, Elementary Algebra, 7ed 3

Dividing Polynomials

40-t-6t52t

52t

40-t-6t

Divide.

2

2

3t

6t2 +15t

-16t - 40

0

83t52t

40-t-6t2

Check your answer using the FOIL method.

-16t - 40 4. Repeat, using the first term in the bottom row:

- 8

-16t 2t = - 8

Example continued: