Polynomials

Naming Polynomials

100

Name the polynomial based on the DEGREE and NUMBER OF TERMS:

5

Constant Monomial

(no exponent, one term)

200

Name the polynomial based on the DEGREE and NUMBER OF TERMS:

3x² - 4

Quadratic Binomial

(highest exponent of 2, two terms)

300

Name the polynomial based on the DEGREE and NUMBER OF TERMS:

 -2x³ + 5x² - 3

Cubic Trinomial

(highest exponent of 3, three terms)

400

Name the polynomial based on the DEGREE and NUMBER OF TERMS:

x + 1

Linear Binomial

(highest exponent of 1, two terms)

500

Name the polynomial based on the DEGREE and NUMBER OF TERMS:

x² - 7x + 12

Quadratic Trinomial

(highest exponent of 2, three terms)

Combining Like Terms

100

Simplify the expression and write in standard form:

2x + 3 - 5 + 7x - x²

-x² + 9x - 2

200

Simplify the expression and write in standard form:

x² + 2x² - 1

3x² - 1

300

Simplify the expression and write in standard form:

3x³ - 5x⁴ - x³ + 7

-5x⁴ + 2x³ + 7

400

Simplify the expression and write in standard form:

(x² + 2x + 1) + (5x² + 3x + 3)

6x² + 5x + 4

500

Simplify the expression and write in standard form:

(x² + 2x + 1) - (5x² + 3x + 3)

-4x² - x - 2

Multiplying Monomial by Binomial

100

Simplify using distributive property:

2(4x + 1)

8x + 2

200

Simplify using distributive property:

3(5x - 2)

15x - 6

300

Simplify using distributive property:

2x(3x - 8)

6x² - 16x

400

Simplify using distributive property:

x(3x - 1)

3x² - x

500

Simplify using distributive property:

10x(x - 3)

10x² - 30x

Multiplying Binomials

100

Multiply the following binomials using FOIL method or Box method:

(x + 1)(x + 3)

x² + 4x + 3

200

Multiply the following binomials using FOIL method or Box method:

(x + 1)(x - 3)

x² - 2x - 3

300

Multiply the following binomials using FOIL method or Box method:

(2x + 1)(x - 4)

2x² - 7x - 4

400

Multiply the following binomials using FOIL method or Box method:

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

6x² - 23x + 20

500

Multiply the following binomials using FOIL method or Box method:

(x + 10)(x - 10)

x² - 100

Dividing Polynomials by a Monomial

100

7n² + 4n
________

n

7n + 4

200

10x² + 5x - 15
____________   

5

2x² + x - 3

300

-20x² - 5x
_________

5x

-4x - 1

400

12c⁵d⁴ + 18c⁴d³
_____________

3c²d³

4c³d + 6c²

500

28x⁵y⁴z³ - 8x⁴y³z²
_______________

4x²y²z²

7x³y²z - 2x²y