Polynomials

Standard Form

100

Put this into standard form: 

8x-9+2x^2

2x^2+8x-9

200

Put into standard form: 

-9b-4-7b^2

-7b^2-9b-4

300

Put into standard form: 

-5b+7b^4+8

7b^4-5b+8

400

Put into standard form: 

-3c+7c^3+8-6c^2

7c^3-6c^2-3c+8

500

Put into standard form: 

10-2x+10x^4+8x^2-7x^3

10x^4-7x^3+8x^2-2x+10

Vocabulary

100

Is the following a monomial, binomial, trinomial, or other?

12x

monomial 

200

What is the constant? 

5x^3-2x^2+8x+4

4

300

What is the variable? 

10b^4-7b^3+8b^2-2b+10

b

400

What is the leading coefficient? That means the first

-2x^3+7x^2+10x-7

-2

500

Is the following a monomial, binomial, trinomial, or other?

6x^2+2x-7

trinomial 

Combining Like Terms

100

5 + 2x + 2 

7+2x

200

2 + 3x - 4x + 6 

-1x+8

300

-2x+7+7x-3

5x+4

400

   8x - 2 + x  

7x-2

500

9 + 7y - 2 - 5y 

2y+7

Miscellaneous

100

What are the coefficients of the following? 

3x^2-9x+8

3, 9

200

How many terms are in the following polynomial? 

10x^4-7x^3+8x^2-2x+10

5

300

What is the degree of the polynomial? 

6x+8

1

400

What is the degree of the polynomial? 

7c^3-6c^2-3c+8

3

500

What is the degree of the following polynomial? 

10x^4-7x^3+8x^2-2x+10

4

add/subtract

100

Add:  (2x² - x +2)+(x² - 5)

3x²-x-3

200

(5-3x)-(7+2x)

-5x-2

300

(x⁵ - x⁴ + 2) - (x³+1)

x⁵ - x⁴-x³+1

400

(5-x³+x²-6x)-(x²+5-x³-6x)

0

500

Solve: 6x+4-9x-8=11

x= -5