Polynomials!

What is the Degree and Type?

100

5x³

Degree: 3

Monomial

200

10

Degree: None

Monomial

300

2x²y³+ x⁴

Degree: 5

Binomial

400

8x⁴y⁶ - 3x²y

Degree: 10

Binomial

500

-3x³ - 4xy + 6xy²z

Degree: 4

Trinomial

What is the Coefficient and Constant?

100

2x² + 4

Coefficient: 2

Constant: 4

200

5x - 3

Coefficient: 5

Constant: -3

300

4x² + 5x -2

Coefficient: 4 and 5

Constant: -2

400

-10

Coefficient: none

Constant: -10

500

-6x² -x

Coefficient: -6 and -1

Constant: none/0

What do these tiles represent?

100

⬛◾◾◾◾

Black: +

White: -

x² + 4

200

⬛▮▮◾◾◽◽

Black: +

White: -

x² - 2x

300

⬜▮▮◾◽◽

Black: +

White: -

-x² - 2x -1

400

⬛⬛⬜▮▮▮▮◾◾◽◾◽◾

Black: +

White: -

x² -4x + 2

500

◾◾◽⬛⬛◽◾⬜◾◾◽

Black: +

White: -

x² + 2

Simplify! (Adding/Subtracting)

100

2x² + 5x² + 3 - 9

7x² - 6

200

7x² + 4 - 2x² -10

5x² - 6

300

(9x + 2) - (3x - 3)

6x + 5

400

6x² + 4x - 2x² -2 + 7x + 7

4x² + 11x + 5

500

(2x² + x - 4) - (3x + 8)

2x² - 2x - 4

Simplify! (Multiplication)

100

(x)(6x)

(6x²)

200

(2x²) (4x⁴)

8x⁶

300

(2x)(3x + 9)

6x² + 18x

400

(4x)(3x² - 2x + 5)

12x³ - 8x² + 20x

500

(4x + 2)(5x - 5)

20x² + 10x - 10