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

(7 - 5r + 2r²) + (3r³ - 6r)

3r³ + 2r² -11r + 7

500

(5r³ - 6r² +3r) + (-3 -2r + r²)

5r³ - 5r³ + r - 3

Subtraction of Polynomials

100

(y² - 10xy) - (2y² + 3xy)

-y² -13xy

200

(2x² + 5x - 3) - (3x² + 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

Multiply Monomials

100

Remove parentheses. Identify like terms. Group the like terms together. Add the like terms. (6x^2)(5x)

30x^3

200

(x²yx)(x²y²)

x²y⁵z

300

(x²y)(yz)(xyz)

x³y³z²

400

(3ab²)(-2abc)(4ac²)

-24a³b³c³

500

(3a²b)(-6bc)(2ac²)

-36a³b²c³

Powers to Powers

100

(x⁷)²

X¹⁴

200

(3x²y)²

9x⁴y²

300

(ab²)²(ab)²

a⁴b⁶

400

(-2x)(-3xy²)²

-18x³y⁴

500

(-3b²)(2ab²)³

-24a³b⁸

Mixed Review

100

Combining like terms

What is adding and subtracting polynomials?

200

The method of lining polynomials in vertical arrangement.

What is the vertical method?

300

The method of grouping like terms and solving.

What is the horizontal method?

400

Implies to many.

 poly

500

Implies to one.

What is mono?