Polynomials

Standard Form

100

Write the polynomial in standard form: 3x + 1 + 2x²

What is 2x² + 3x + 1?

200

Write the polynomial in standard form: 

3y + 7y⁴ - 6y² + 9

What is 7y⁴ - 6y² + 3y + 9?

300

Write the polynomial in standard form: 

2ab - 4b² - 2a²b

What is 2a²b + 2ab - 4b²?

400

Write the polynomial in standard form: 

-4m²n + 8mn³ + 8m³n²

What is 8m³n² - 4m²n + 8mn³ ?

500

Write the polynomial in standard form: 

6x²y - 10xy² + 4x²y - 6xy²

What is 10x²y - 16xy² ?

Adding/Subtracting

100

(7n + 2n⁴) - (2n⁴ - n)

What is 8n?

200

(2x³ + 7x) + (8x³ - 6x)

What is 10x³ + x?

300

(5 + 4a²) + (1 + 3a + 2a²)

What is 6a² + 3a + 6?

400

(6m⁴ - 6m²) - (2 - 2m⁴ + 6m²)

What is 8m⁴ - 12m² - 2?

500

(8 - 3a²b) + (7ab⁴ - 8a²b + 3) - (6ab⁴ + 7 + 2a²b)

What is  -13a²b +ab⁴ + 4?

Classifying

100

9r

What is linear monomial?

200

2m³ - 9

What is cubic binomial?

300

-4p - 6 + 3p

What is linear binomial?

(Must simplify: -p - 6)

400

8x³ - 6 + 8x⁴ + 9x²

What is quartic polynomial?

500

-4n⁴ - 8n⁵ + 6n⁵ - 4n

What is quintic trinomial?

Must simplify: -2n⁵ - 4n⁴ - 4n

Multiplying Monomials/Binomials

100

3(x²+4x+8)

What is 3x²+12x+24?

200

(m+ 7)(8m - 3)

What is 8m² + 53m - 21?

300

(7n + 3)(5n - 4)

What is 35n² - 13n - 12?

400

(5x - 7y)(5x + 7y)

What is 25x² - 49y²?

500

(4u³ - 8v²)²

What is 16u⁶ - 64u³v² + 64v⁴?

More Multiplying

100

(5x + 1)(6x² - 7x - 7)

What is 30x³ - 29x² - 42x - 7?

200

(7n - 7)(3n² + 8n - 7)

 What is 21n³ + 35n² - 105n + 49?

300

(7r² - 6r - 1)(7r² + 6r + 4)

What is 49r⁴ -15r² - 30r - 4?

400

(p + 1)³

What is p³ + 3p² + 3p + 1?

500

(4a² + 3a + 2)²

What is 16a⁴ + 24a³ + 25a² + 12a + 4?