Exponents and Operations with Polynomials

Simplifying with Exponents

100

(x³)^-1

1/(x^3)

200

7x⁰+5

2

300

(-2ab³)⁴

16a⁴b¹²

400

(2x^4y^-3)/(6x^-5y^2)

(x^9)/(3y^5)

500

((6a^8b^7)/(12a^3b^-5))^2

(a^10b^24)/(4)

Addition or Subtraction of Polynomials

100

(4x² + 2x) + (x² + 6x)

5x² +8x

200

(y² - 10xy) - (2y² + 3xy)

-y² -13xy

300

(2a² - 7a + 10) + (a² + 4a + 7)

3a² -3a +17

400

(4x³ + 5x + 2) - (1 + 2x - 3x²)

4x³ + 3x² +3x + 1

500

(4 - x - 2x²) - (-2 + 3x - x³)

x³ - 2x² - 4x + 6

Multiply with Monomials

100

How many terms are in a monomial? 

One

200

(6x²)(5x)

30x³

300

(x²yz)(x²y⁴)

x⁴y⁵z

400

2x(x + 6) 

2x² + 12x 

500

-3y(5y³ - 7y² + y - 2)

-15y⁴ + 21y³ - 3y² + 6y

Multiplying Polynomials

100

(x + 4)(x - 2)

x² + 2x - 8 

200

(a + 3)(a − 2)

a² + a − 6

300

(4m + 2)(4m + 5)

16m² + 28m + 10

400

(5b − 6)(5b² + 4b − 2)

25b³ − 10b² − 34b + 12

500

(8n² + n − 4)(6n² − 6n − 4)

48n⁴ − 42n³ − 62n² + 20n + 16

Mixed Review

100

(x - 2)²

x² - 4x + 4 

200

(3x + 1)(3x - 1)

9x² - 1

300

(xy² - 5)(xy² + 5)

x²y⁴ - 25

400

(6x + 7y)²

36x² + 84xy + 49y²

500

How many terms are in a binomial? 

Two 

Degree and Classify

100

Degree of  3x⁶

6

200

Coefficient of -21x⁵y⁸

-21

300

Degree of  -9x⁴ + 7x⁸

8

400

Degree of  6x⁵yz¹⁰

16

500

Classify by number of terms  5x⁴ + 2x² - 7

Trinomial