All About Polynomials :)

Classifying Polynomials I

100

What is the name of this polynomial when classifying it by its degree?

-3x³ + 17

What is Cubic

200

What is the name of this polynomial when classifying it by its degree?

3x + 5x² - 1

What is Quadratic

300

What is the name of this polynomial when classifying it by its degree?

18a² - 3a⁴ + 2a⁵

What is 5th Degree or Quintic

400

What is the name of this polynomial when classifying it by its degree?

5c⁴ + c³ 

What is 4th Degree or Quartic

500

What is the name of this polynomial when classifying it by its degree?

5a + 6

What is Linear

Classifying Polynomials II

100

What is the name of this polynomial when classifying it by its degree and number of terms?

-9x²

What is a Quadratic Monomial

200

What is the name of this polynomial when classifying it by its degree and number of terms?

5n² - n⁴ + 3

What is a 4th Degree Trinomial

300

What is the name of this polynomial when classifying it by its degree and number of terms?

2x³ + x²

What is a Cubic Binomial

400

What is the name of this polynomial when classifying it by its degree and number of terms?

8

What is a Constant Monomial

500

What is the name of this polynomial when classifying it by its degree and number of terms?

3a + b - c + 1

What is a Linear Polynomial

Combining Like Terms

100

Simplify the following expression by combining like terms.

4a + 5 + 10a + 7

What is 14a + 12

200

Simplify the following expression by combining like terms.

7a + 3b - 2a + b

What is 5a + 4b

300

Simplify the following expression by combining like terms.

8c + 3d -2 + d - 4c

What is 4c + 4d - 2

400

Simplify the following expression by combining like terms.

14y² - 9 + -10y² + 6 - 5y

What is 4y² - 5y - 3

500

Simplify the following expression by combining like terms.

(5x³ - x + 2x² + 1) - (3x³ - 5x - 4)

What is 2x³ + 2x² + 4x + 5

Multiplying Exponents

100

Simplify the following expression:

a² * a⁴

What is a⁶

200

Simplify the following expression:

b * b⁴

What is b⁵

300

Simplify the following expression:

a⁶b⁷ * a⁴b⁶

What is a¹⁰b¹³

400

Simplify the following expression:

x²(5x + 3)

What is 5x³ + 3x²

500

Simplify the following expression:

x³(5x² + 3x + 8)

What is 5x⁵ + 3x⁴ + 8x³

Multiplying Binomials

100

Simplify the following expression using the FOIL method:

(x + 2)(x + 2)

What is x² + 4x + 4

200

Simplify the following expression using the FOIL method:

(x + 3)(x + 3)

What is x² + 6x + 9

300

Simplify the following expression using the FOIL method:

(x + 4)(x + 4)

What is x² + 8x + 16

400

Simplify the following expression using the FOIL method:

(x + 5)(x + 5)

What is x² + 10x + 25

500

Simplify the following expression using the FOIL method:

(x + 6)(x + 6)

What is x² + 12x + 36