Peak Points
Factor Frenzy
Dividing Decipher
Expert Strategies
Bonus questions
100

f(x)=x3+4x2-5x-2b.

Minimum:(-4-√31/3, 308-62√31/27)

Maximum:(-4+√31/3, 308+62√31/27)

Domain:(-∞,∞)

Range:(-∞,∞)

X-intercepts:(1,0)(-5,0)

100

-3x3+5x2-2x+8

(x2+2)

(-3x+5)

100

Divide 3x3-4x2+2x-5 by x+2 using long division.

3x2-10x+22-49/x+2

100

4x2-25

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

100

x3+64

(x+4)(x2-4x+16)

200

h(x)=x4-3x3+x2+4x-3

Maximum:(-0.3,-3)

Minimum:(-1,-9)

Domain:(-∞,∞)

Range:(-3.21,∞)

X-Intercepts:(-1.2,0) (1,0)

200

x2-8x+16

(x-4)2

Or (x-4)(x-4)

200

divide 4x5-6x3+2x2-3x+1 by x-1 using long division

4x4+4x3-2x2-3-2/x-1

200

Factor 2x3-12

2(x3-6)

200

4x3+2x2-6x+12=0

x=-2 or no real solution

300

k(x)=3x3-2x2+5x-1

Maximum:no maximum

Minimum:(-5/2, -29/4)

Domain:(-∞,∞)

Range:(-∞,∞)

X-Intercepts:(0.2,0)

300

x3-27

(x-3)(x2+3x+9)

300

Divide 3x5+x4-2x2-2 by x+1 using synthetic division

3x4-2x3+2x2-4x+4-6/x+1

300

x2-9=0

x=+-3

300

x2-6x+9=0

x=3

400

m(x)=4x4-7x3+3x2+3x-2

Maximum:(2,4)

Minimum:(-0.2, -2.4)

Domain:(-∞,∞)

Range:(-2.4,∞)

X-Intercepts:(-0.7,0)(0.7,0)

400

x3-125

(x-5)(x2+5x+25)

400

Divide 3x3-2x2+5x-4 by x+3 using synthetic division

3x2-11x+38-118/x+3

400

8x3-125=0

x=5/2

400

Factor x3-264

(x-6)(x2+6x+36)

500

n(x)=x3-5x2+8x-2

Maximum:(0,4)

Minimum:(3,4)

Domain:All real numbers

Range:(-∞,∞)

X-Intercept:(0,0) (3,0)

500

3x3-27x

3x(x+3)(x-3)

500

Divide 4x4-2x3+5x2+x+3 by x-2 using long division

4x3+6x2+17x+35+73/x-2

500

x4-16=0

x=+-2

500

x4-8x2+16=0

x=+-2