POLYNOMIALS Classifying Polynomials - Delano Joint Union ...

Algebra

CHAPTER 10.1

POLYNOMIALS

Name ______________________________________ Period ______ Date ___________________________

Classifying Polynomials

Polynomials can be classified (named) by the number of terms.

Polynomial 3x 2

5x 8 4x2 9x 10

Number of terms

1 term 2 terms 3 terms

Name

monomial binomial trinomial

Polynomials can also be classified by the degree (largest exponent of the variable).

Polynomial ?24

2x 8 3x2 7 12 x3 10

Degree

0 degree (no power of x ) 1st degree (x to the 1st power)

2nd degree ( x 2 ) 3rd degree ( x 3 )

Name

constant linear

quadratic cubic

DIRECTIONS: Complete the table below.

Polynomial

Standard Form

1. 3 7x 9x2

2.

5 6x3

3.

4

4.

10 5x

5. 8x 2 6x3

9x2 7x 3

Degree

2nd

Number of Terms

3

Name

quadratic trinomial

DIRECTIONS: Add the polynomials. Write the answer in standard form.

6. (5x2 8x 10) (12 x 3x2 )

7. (8x x3 4 9x2 ) (7x3 9x2 10 8x)

DIRECTIONS: Subtract the polynomials (add the opposite). Write the answer in standard form.

8. (9x2 4x 8) (12x2 6x 3)

9. (x 2x3 8 7x2 ) (8 5x 3x3 )

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10.1 Adding and Subtracting Polynomials

1. 4x2 2x 8 x2 3x 2

2. 4x2 2x 8 2x2 2x 5

3. 5x2 x 5 x2 x 5

4. 3x2 3x 4 x2 3x 6

5. 2x2 2x 3 x2 5x 5

6. 2x2 4x 8 x2 3x 1

7. 6x2 4x 1 2x2 6x 1

8. 6x2 2x 2 5x2 2x 2

9. 7x2 5x 11 3x2 2x 11

10. 7x2 8x 10 2x2 x 10

11. State the degree of the monomial 7x 4

12. Find the product of

2x x3 5

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