Adding/Subtracting/Multiplying Polynomials

Addition of Polynomials

100

(4x² + 2x) + (x² + 6x)

5x² +8x

200

(-3y² + y) + (4y² + 6y)

y² +7y

300

(2a² - 7a + 10) + (a² + 4a + 7)

3a² -3a +17

400

(2r² - 5r + 7) + (3r³ - 6r)

3r³ + 2r² -11r + 7

500

(5r³ - 6r² +3r) + (r² -2r - 3)

5r³ - 5r² + r - 3

Subtraction of Polynomials

100

(y² - 10xy) - (2y² + 3xy)

-y² -13xy

200

(2x² + 5x - 3) - (3x³ + 2x - 5)

-3x³ + 2x² +3x + 2

300

(-3a² - 2a) - (4a² - 4)

-7a² - 2a + 4

400

(4x³ + 5x + 2) - (1 + 2x - 3x²)

4x³ + 3x² +3x + 1

500

(4 - x - 2x²) - (-2 + 3x - x³)

x³ - 2x² - 4x + 6

Multiplying by a Monomial

100

6x²(5x)

30x³

200

x²yz * x²y⁴

x⁴y⁵z

300

How many terms are in a monomial? 

One

400

2x(x + 6) 

2x² + 12x 

500

7x³ (3x² – 2x)

21x⁵ – 14x⁴

Multiplying Polynomials

100

(x + 4)(x - 2)

x² + 2x - 8 

200

(a + 3)(a − 2)

a² + 1a − 6

300

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

16m² + 28m + 10

400

(b − 6)(2b² + 5b − 3)

2b³ − 7b² − 33b + 18

500

(2n – 9)²

4n² – 36n + 81

Exponent Properties

100

5x³y * 7x²y⁷

35x⁵y⁸

200

2xy^-7

(2x)/(y⁷)

300

(5x²)³

125x⁶

400

(x⁵/y⁷)^–2

y¹⁴/x¹⁰

500

(12x⁰y⁷)/(6xy^–2)

(2y⁹)/x