Math

I use Zero Product Property to solve polynomials equations.

100

x-3=5

x=8

200

(x+15)(x-15)

x=15  x=-15

300

(x-13)(x+3)

x=13 x=-3

400

X+13=1

x=12

500

7x(x+9)

x= 0;x= -9

I can multiply polynomials

100

(x-4)(x+2)

x^2 -2x -8

200

(x^2 +6)(x-9)

x^3 -9x^2 +6x -54

300

(x^2 -x)(x+5)

x^3 -x^2 -5x

400

(x-17)(1+5)

6x -102

500

(x-23)(-x +31)

-x^2 +8x -713

Sequences

100

Find the 10 term in this. 9,6,3,0

-18

200

What is the 6th term? 8,-16,32,-64

-256

300

Find the 17th term. 1,5,25,125

152587890625

400

Find the 5th term. 3,-6,-15

-33

500

Find the 7th term. 32,16,8,4

0.5

Quadratic functions

100

What is the domain of f(x)=2x^2 +1

All Real

200

What is the range of f(x)= 2x^2 +1

1≤y

300

What are the intercepts of f(x)= 2x^2 +1

No x intercepts. 

400

What is the vertex of f(x)=2x^2 +1

(0,1)

500

What is the domain for y=-2x 

All Real

Factoring Polynomials

100

Factor 3x^2 -6x +9 using greatest common factor.

3(x^2 -2x +3)

200

Factor 4x^3 +2x^2 -3x +12

2x^2(2x+1) 3(x+4)

300

Factor 2x^2 +3x -3 

x(2x+3) 3(x-1)

400

Factor 3x^3 +2x^2 -4x +4

x^2(3x+2) 4(-x +1)

500

Factor 3x^4 -6x^3 +2x^2 +4x

3x^3(x-2) 2(x^2 +2x)