math iz cool

Polynomials adding, subtracting, multiplying

100

(5a + 4) − (5a + 3)

1

200

(4a + 2)(6a² − a + 2)

24a³ + 8a² + 6a + 4

300

(5p ² − 3) + (2p²− 3 p³ )

−3 p³ + 7p²− 3

400

(2n + 2)(6n + 1)

12n² + 14n + 2

500

(14p⁴ + 11 p² − 9p⁵ ) − (−14 + 5p⁵ − 11 p² )

−14p⁵ + 14p⁴ + 22p² + 14

Expanding Function

100

(y - 5)³

y³ - 15y² + 75y - 125

200

(4 + y)³

64 + 48y + 12y2 + y3

300

(5 + y)³

125 + 75y + 15y² + y³

400

(v + 5)³

v³ + 15v² + 75v + 125

500

expand

(3 - x)⁵

243 - 405x + 270x² - 90x³ + 15x⁴ - x⁵

Combining Functions

100

f (x) = 2x - 3 g(x) = x³ - 3 

Find ( f - g)(5)

2x³+9

200

h(x) = 3x + 5 g(x) = 4x - 1 

Find h(7) - g(7)

12x+2

300

Given f(x)=6x² and g(x)=x²+3x−1

Find (gf)(x)

6x⁴+18x³−6x²

400

Given P(t)=4t²+3t−1 and A(t)=2−t²

Find (P+A)(t)

3t²+3t+1

500

Given f(x)=6x+2 and g(x)=10−7x

Find (f−g)(2)

18

Polynomial Division

100

(m²− 7m − 11) ÷ (m − 8)

m+1-3/m-8

200

(8x³ − 10x² + 9x − 7) ÷ (x − 1)

8x² − 2x + 7

300

(n³ − 12n² + 34n + 5) ÷ (n − 5)

n² − 7n − 1

400

(x² + 6x − 40) ÷ (x − 4)

x + 10

500

 (7x² + 19x − 36) ÷ (x + 4)

7x − 9

Composing Function

100

who invented math

Archimedes

200

g(n) = n + 1 

f (n) = n² - n 

Find g( f (8))

57

300

f (x) = 4x + 5

Find f ( f (-1))

9

400

12) g(t) = -t

Find g(g(t))

t

500

g(n) = 4n - 5 

h(n) = 2n + 1 

Find g(h(8))

63