Polynomial Operations

Standard Form,Degree, and Classify

100

Find the degree of this term and classify: 

8a³

What is degree of 3 and a monomial.

200

Find the degree and classify this polynomial: 

-3c⁷+8c³+c

What is 7 and Trinomial

300

Write this polynomial in standard form: 

x²+4-3x

What is x²-3x+4

400

Write this polynomial in standard form and classify: 

5y-2y²

What is -2y²+5y and Binomial

500

Write this polynomial in standard form and classify after writing in standard form: 

4x-1+5x³+7x

What is 5x³+11x-1 and Trinomial

Addition & Subtraction

100

Find the sum: 

12p² + 8p²

What is 20p²

200

Simplify: 

(4w-5) - (9w+2)

What is -5w-7

300

Simplify: 

(6x²+7) + (3x²+1)

What is 9x²+8

400

Simplify: 

(2k²-k+3) - (5k²+3k-7)

What is -3k²-4k+10

500

Simplify: 

(2g⁴-3g+9) + (-g³+12g)

What is 2g⁴-g³+9g+9

Multiplication (distribute)

100

Simplify: 

7(x+4)

What is 7x+28

200

Simplify: 

2b(3b-11)

What is 6b²-22b

300

Simplify: 

-w²(w-15)

What is -w³+15w²

400

Simplify: 

4x(2x³-7x²+x)

What is 8x⁴-28x³+4x²

500

Simplify: 

-8y³(7y²-4y-1)

What is -56y⁵+32y⁴+8y³

Multiplication (FOIL)

100

Simplify: 

(x+7)(x+4)

What is x²+11x+28

200

Simplify: 

(2h-7)(h+9)

What is 2h²+11h-63

300

Simplify: 

(5m-2)²

What is 25m²-20m+4

400

Simplify: 

(v+6)(v-6)

What is v²-36

500

Simplify: 

(6t²+1)²

What is 36t⁴+12t²+1

Challenge Problems

100

Find the sum:

(x² - 4x + 3) + (3x² - 3x - 5)

What is 4x² - 7x -2

200

Find the difference:

(2x² + 3y² - z²) - (x² - y² - z²)

What is x² + 4y²

300

Multiply the Monomial and Polynomial:

4n(3n² + n - 4) - n(3 - n)

What is 12n³ + 5n² - 19n

400

Multiply the Binomial and Polynomial:

(m + 3)(m² + 4m +7)

What is m³ + 7m² + 19m + 21

500

Subtract (-a² - 5ab + 3b²) from 

(3a² - 2ab + 3b²⁾ 

What is 4a² + 3ab