31. Unit 9 Review: Polynomials

Add/Subtract Polynomials

100

1.

(7x² +2x+5)+(2x²+3x+10)

9x² + 5x + 15

200

2.

(x² + 3x + 7) + (9x² + 8x + 15)

10x² + 11x + 22

300

3.

(3x²+2x+15)+(x² +5x - 4)

4x² + 7x + 11

400

4.

(7x² +2x+5) -(2x²+3x+10)

5x² - x - 5

500

5.

(4x²+3x+2) - (6x²+7x+4)

-2x² - 4x - 2

600

6.

(x²+12x+15)-(2x²+12x+2)

- x² + 13

Distributive Property

100

7.

4(x + 2)

4x + 8

200

8.

3(x + 8)

3x + 24

300

9.

5(2x - 4)

10x - 20

400

10.

- 6(3x + 4)

-18x - 24

500

11.

-2(5x - 8)

-10x + 16

600

12.

2x(4x - 6)

8x² - 12x

Multiplying Binomials

100

13.

(2x + 4)(5x +3)

10x²  + 26x + 12

200

14.

(9x + 1)(3x +2)

27x² + 21x + 2

300

15.

(2x - 4)(5x - 3)

10x² -26x + 12

400

16.

(9x - 2)(x + 1)

9x²  + 7x - 2

500

17.

(8x - 5)(-2x + 3)

- 16x² + 34x - 15

600

18.

(3x + 2)(x - 4)

3x² - 10x - 8

All About Polynomials

100

19.  6x - 9 

Identify the:

constant(s)____

coefficient(s)____

variable(s) ___

Constant: -9

Coefficient: 6

Variable: x

200

20.

Circle the terms:

8x³ + 2x² - 8x + 15

8x³ / 2x² / - 8x / 15

300

21.

What is the degree of the polynomial?

8x³ + 2x² - 8x + 15

3rd degree

400

22.

Rewrite the polynomial in standard form:

7x + 2 - 8x²

- 8x² + 7x + 2

500

23.

Classify the polynomial:

2x² - 8x + 15

quadratic trinomial

600

24.

Rewrite the polynomial in standard form:

 2x² - 8x - 5x³ + 15

-5x³ + 2x² - 8x + 15