Polynomial Review

Polynomial Vocab

100

Write in standard form

3+4x²-5x+x⁴

What is  x⁴ + 4x² - 5x+3

200

Combine Like Terms

5a² - 6a + 3 - a² + 10a + 2

What is 4a² + 4a + 5

300

What degree is the polynomial?

5x⁴-2x⁴y+x

5th degree

400

Classify the polynomial by the number of terms

-10x³y² + 5xy³ + 7x 

trinomial

500

Write the polynomial in standard form

4x⁵-2xy²+6x³y⁴-x⁶

What is 6x³y⁴-x⁶+4x⁵-2xy²

Adding Polynomials

100

Add the Polynomials

(4x + 9) +(x - 4)

5x + 5

200

Add the polynomials:

(-3a - 2) + (7a + 5)

4a + 3

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

A rectangle has a length of (4x+5) and a 

width of  (3x-2). Find the perimeter.

14x+6

500

A triangular garden has the following sides:

Side 1: x²-4x+8

Side 2: 3x²+2x³-9

Side 3: 7x+2x²+2

Find the perimeter

2x³+6x²-4x+1

Subtracting Polynomials

100

Subtract the polynomials:

(g - 4) - (3g - 6)

-2g + 2

200

Subtract the polynomials:

(-5h - 2) - (7h +6)

-12h - 8

300

Subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x² + x +3

400

2 sides of a 

k³ + 4k² -7k -4

500

Subtract the Polynomials:

(2x - 3x) - (x² -2x + 4)

-x² + x - 4

Multiplying Polynomials

100

Multiply the Polynomials:

3(2x)

6x

200

Multiply the Polynomials:

7x(2x + 2)

14x² + 14x

300

Multiply the Polynomials:

2x²(5x² + 10x + 11)

10x⁴ + 20x³ + 22x²

400

Multiply the Polynomials:

 3x²y(2x+3y+1)

6x³y + 9x²y² + 3x²y

500

Multiply the Polynomials:

4cd(d² - 4d + 3)

4cd³ - 16cd² +12cd

Dividing Polynomials

100

Divide the Polynomials:

(4n + 8) / 2

2n + 4

200

Divide the Polynomials:

(16x² - 12x + 8) / 4

4x² - 3x + 2

300

Divide the Polynomials:

(25s³ + 15s) / 5s

5s²  + 3

400

Divide the Polynomials:

(8h⁵ - 32h⁴ +16h³) / -8h⁴

-h + 4 - (2/h)

500

Divide the Polynomials:

(3x³y + 6x² y - 9x) / 3x²y

x + 2 - (3/y)