Adding/Subtracting/Multiplying Polynomials

Addition of Polynomials

100

(4x² + 2x) + (x² + 6x)

5x² +8x

200

(-3y² + y) + (4y² + 6y)

y² +7y

300

(2a² - 7a + 10) + (a² + 4a + 7)

3a² -3a +17

400

(2r² - 5r + 7) + (3r³ - 6r)

3r³ + 2r² -11r + 7

500

(5r³ - 6r² +3r) + (r² -2r - 3)

5r³ - 5r² + r - 3

Subtraction of Polynomials

100

(y² - 10xy) - (2y² + 3xy)

-y² -13xy

200

(2x² + 5x - 3) - (3x³ + 2x - 5)

-3x³ + 2x² +3x + 2

300

(-3a² - 2a) - (4a² - 4)

-7a² - 2a + 4

400

(4x³ + 5x + 2) - (1 + 2x - 3x²)

4x³ + 3x² +3x + 1

500

(4 - x - 2x²) - (-2 + 3x - x³)

x³ - 2x² - 4x + 6

Exponents

100

2x^-3

2/x³

200

(x²yz)(x²y⁴)

x⁴y⁵z

300

(3x^-3)(x²)/x⁶

3/x⁷

400

(3x²y/y^-9z)^-2

z²/(9x⁴y²⁰)

500

(2^-3x²y^-5)/(5^-2x⁷y^-1)

25/(8x⁵y⁴)

Multiplying Polynomials

100

(x + 4)(x - 2)

x² + 2x - 8 

200

(x-2)²

x² -4x+4

300

(4m + 2)(4m + 5)

16m² + 28m + 10

400

(5b − 6)(5b 2 + 4b − 2)

25b³ − 10b² − 34b + 12

500

(8n 2 + n − 4)(6n 2 − 6n − 4)

48n⁴ − 42n³ − 62n² + 20n + 16

Scientific Notation

100

Write in scientific notation 0.001025

1.025x10^-3

200

Write in standard form: 7.7x10⁸

770,000,000

300

Give me an example of a number written in scientific notation. 

Answers may vary 

400

(8.1x10⁵)(5x10^-7)

4.05x10^-1

500

(0.00064*2000)/16,000

8x10^-5