ManicMath

Polynomials

100

Add the polynomial 

(4x²+5x+7)+(3x²-8x+12)

7x²-3x+19

200

Subtract the polynomial

(9x²-7x+13)-(5x²-7x-14)

4x²+27

300

multiply the polynomial

(4x-2)(x²+3x-5)

4x³+10x²-26x+10

400

Divide the polynomial

28x⁶-36x⁴+20x³/ 4x²

7x⁴-9x²+5x

500

Divide the polynomial 

12x⁴-9x³+15x²/3x²

4x²-3x¹+5

Inverses

100

find the inverse 

f(x)=2x-7

f^-1(x)= x+7/2

200

find the inverse

f(x)=x³+8

f^-1(x)=³sqrt(x-8)

300

find the inverse

f(x)=7x-4

f^-1(x)=x/7 + 4/7

400

find the inverse

f(x)=x+7/2

f^-1(x)=2x-7

500

find the inverse

f(x)=3x+2

f^-1(x)=x-2/3

Solving Equations

100

Solving equations

20x+5=5x+65

x=4

200

Solving equations

x/5+7=-3

x=50

300

Solving equations

4x+8=24

x=4

400

Solving equations

4x-1=2x+5

x=3

500

Solving equations

11x-2=5-2x-8

x= -1/13

Factoring Trinomials

100

Factoring Trinomials 

x²+9x+20

(x+5)(x+4)

200

Factoring Trinomials 

x²+5x+6

(x+2)(x+3)

300

Factoring Trinomials 

x²-7x+12

(x-3)(x-4)

400

Factoring Trinomials 

x²+3x+40

(x-5)(x+8)

500

Factoring Trinomials 

2x²-3x-2=0

x=2

x=1/2