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DIVIDING POLYNOMIALS. Joyce DuVall Green Valley High School Henderson, NV. Dividing Polynomials. The objective is to be able to divide a polynomial by a monomial. Step 1. Divide each term of the polynomial by the monomial. 2. x. 6. 3. -. 3. x. 3. x. Step 2.

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joyce duvall green valley high school henderson nv

DIVIDING

POLYNOMIALS

Joyce DuVall

Green Valley High School

Henderson, NV

dividing polynomials
Dividing Polynomials

The objective is to be able to divide a polynomial by a monomial.

step 1
Step 1

Divide each term of the polynomial by the monomial.

2

x

6

3

-

3

x

3

x

step 2
Step 2

Factor each expression.

·

·

·

2

3

x

x

3

-

·

·

3

x

3

x

step 3
Step 3

Divide out the common factors in each expression.

The numbers and variables which are crossed out divide out to 1.

step 4
Step 4

Write in simplified form.

1

-

2

x

x

slide7

A

A

You Try It

dividing a polynomial by a polynomial
Dividing a Polynomial by a Polynomial

The objective is to be able to divide a polynomial by a polynomial by using long division.

Dividend – the number which is being divided.

Divisor – The number that is being divided into the dividend.

Quotient – The result obtained when numbers or expressions are divided.

Remainder – The part that is left over when the divisor no longer goes into the dividend a whole number of times.

polynomial long division
Polynomial Long Division

Step 1: Write it as you would a regular long division problem.

The x+2 is the divisor and the x2+3x-1 is the dividend.

step 21

2

+

+

-

x

2

x

3

x

1

Step 2

Divide x2 by x to get x. Place this on top.

x

Multiply x+2 by x to get x2 +2x.

Subtract the x2+2x from the x2+3x-1.

2

+

x

2

x

-

x

1

step 31

x

2

+

+

-

x

2

x

3

x

1

2

+

x

2

x

-

x

1

Step 3

+

1

Divide the x by x to get 1.

Multiply x+2 by 1 to get x+2.

+

x

2

Subtract x+2 from the x-1.

-

3

step 41
Step 4

Write your final answer.

The x+1 is the quotient.

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You Try It

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