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

Find the perimeter of a triangular garden that has the following sides:

Side 1: x²-4x+8

Side 2: 3x²+2x³-9

Side 3: 7x+2x²+2

2x³+6x²-3x+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 triangle are 5x-8 and 4x+3. 

If the perimeter of the triangle is 16x-9, find the third side of the triangle.

7x-4

500

A swimming pool can hold water in the amount of

 25x²-7x+14. If it currently holds 19x²+6x-8, 

how much more water can it hold?

6x²-13x+22

Multiplying Polynomials

100

Multiply the Polynomials:

3x³(2x²-5x)

6x⁵-15x⁴

200

FOIL

(x+8)(x-1)

x²+7x-8

300

Multiply the Polynomials:

(2x-3)²

4x²-12x+9

400

Multiply the Polynomials

(x+2y)(x-4y)

x²-2xy-8y²

500

^{Use correct order of operations (PEMDAS) to simplify.}

4(x-3)²+5(x²-8x+1)

9x²-64x+41

Dividing Polynomials

100

Divide the Polynomials:

(4n + 8) / 2

2n + 4

200

Divide the Polynomials:

(16x^2 - 12x + 8) / 4

4x² - 3x + 2

300

Divide the Polynomials:

(25s^3 + 15s) / (5s)

5s^2 + 3

400

²Divide the Polynomials:

(8h^5 - 32h^4 +16h^3) / (-8h)

-h⁴ + 4h³ - 2h²

500

Divide the Polynomials:

(3x^3 + 6x^2 - 9) / (3x)

x^2+ 2x-3/x

Random

100

What is the name of Harry Potter's Owl?

Hedwig

200

Who is Sponge Bob's pet snail?

Gary

300

First appearing in Detective Comics #27 in 1939, this superhero is often called the "World's Greatest Detective."

Batman

400

Introduced in 2009 by an anonymous entity using the pseudonym Satoshi Nakamoto, this decentralized cryptocurrency operates without a central bank or single administrator.

Bitcoin

500

If you multiply all the digits from a cell phone key pad, what will the product be? 

zero