Monomials & Polynomials

Adding Polynomials

100

(5x²+6+4y⁴)+(7x²-6y⁴+9)

12x²-2y⁴+15

200

(9c⁴+3d⁷+5x)+(3c⁴+2d⁷-2x)

12c⁴+5d⁷+3x

300

(12y² + 7y - 4) + (6y² - 13y + 3)

18y²-6y-1

400

(5 - 9x³) + (4x³ + 6x) + (10x - 7)

-5x³ + 16x - 2

500

(-17x⁴y² - 3x + 6) + (-12x² + 3 - 7x) - (2x⁴ - 7)

-17x⁴y²  -2x⁴ - 12x² - 10x + 16

Subtracting Polynomials

100

Simplify:

(3x⁴ - 4y + 4y⁵) - (6y + 7y⁵ + x⁴)

2x^4 - 3y^5 - 10y

200

Simplify:

(-x² - 3) - (2x² + 10x) 

-3x² -10x - 3

300

Simplify:

(3a² + 2a - 2b⁴) - (a² - 3a + 7b⁴) 

2a² + 5a - 9b⁴

400

Simplify:

(6x³ - 4x² + x - 9) - (3x² + 7x + 3)

6x³ - 7x² - 6x - 12

500

(3x⁵y² + z⁸ - 18x⁴ - 6x) - (8x + 2z⁸ -5 + 3x⁵y²)

- z⁸  -18x⁴ - 14x - 5

Simplifying Powers

100

5^-3 Simplify. 

1/125

200

x⁷/x^-3 Simplify.

x^10

300

5x⁴*2x⁷*(3x³)⁰ Simplify

10x¹¹

400

x⁴y⁶ * x^-7y¹⁰ Simplify.

y¹⁶/x³

500

(2x³)⁴/x^-8 

16x²⁰

Multiplying

100

2x(x² - 5x + 3)

2x³ - 10x² +6x

200

(x⁴)(x^-6) Simplify. 

1/x²

300

(2x-3)² Simplify. 

4x² - 12x +9

400

Simplify:

(x - 5)(2x² - 9x + 3)

2x³ 19x² + 48x - 15

500

Simplify:

(2x + 5)(x³ - 10x + 1)

2x⁴ + 5x³ - 20x² + 2x + 1

Random

100

x⁶ + y⁸ + z³ Determine the degree of the polynomial

8th degree

200

(4x+3)(x-5) Solve

4x^2-17x-15 *^=exponent*

300

x⁸/x⁵ Simplify. 

x³

400

g³ + j² + x

Name the polynomial based on the degree and number of terms

Cubic Trinomial

500

*Scientific Notation* 

Evaluate:

(4 * 10⁶) (3 * 10^-11)

1.2 * 10^-4