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

Multiply Polynomials

100

(6x²)(5x)

30x³

200

(x²yz)(x²y⁴)

x⁴y⁵z

300

3x²(2x - 4)

6x³ - 12x²

400

(x⁴+3x)(2x² - 4x +8)

2x⁶ - 4x⁵ +8x⁴+6x³ -12x² 24x

500

(2x³y⁴)(5xy)

What is 10x⁴y⁵?

Dividing + Expanding Polynomials

100

Divide:  12x³-8x²+4x  by  4x

3x²-2x+1

200

Divide:  x²+5x+6  by  x+2

x+3

300

Find the 1st term in the expansion of (x - 3)⁵

x⁵

400

Divide:  3x⁴-2x³+5x²-7x+4  by  x+1

3x³-5x²+10x-17 + 21/x+1

500

Find the coeffecient of x²y³ in the expansion of (x²+y)⁴

4

Polynomials Vocabulary

100

What do you call a polynomial with 2 terms?

Binomial

200

What is a constant?

A term with no variable (i.e., 8)

300

What separates terms? (Hint: there are two options)

Addition (+) and Subtraction (-) signs

400

What is the degree of the following function? 

x⁴+3x²+7

What is 4th degree or degree of 4?

500

What is the term for this:

to express a polynomial by putting the terms in descending exponent order

Standard Form