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)
-3x3+5x2-2x+8
(x2+2)
(-3x+5)
Divide 3x3-4x2+2x-5 by x+2 using long division.
3x2-10x+22-49/x+2
4x2-25
(2x-5)(2x+5)
x3+64
(x+4)(x2-4x+16)
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)
x2-8x+16
(x-4)2
Or (x-4)(x-4)
divide 4x5-6x3+2x2-3x+1 by x-1 using long division
4x4+4x3-2x2-3-2/x-1
Factor 2x3-12
2(x3-6)
4x3+2x2-6x+12=0
x=-2 or no real solution
k(x)=3x3-2x2+5x-1
Maximum:no maximum
Minimum:(-5/2, -29/4)
Domain:(-∞,∞)
Range:(-∞,∞)
X-Intercepts:(0.2,0)
x3-27
(x-3)(x2+3x+9)
Divide 3x5+x4-2x2-2 by x+1 using synthetic division
3x4-2x3+2x2-4x+4-6/x+1
x2-9=0
x=+-3
x2-6x+9=0
x=3
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)
x3-125
(x-5)(x2+5x+25)
Divide 3x3-2x2+5x-4 by x+3 using synthetic division
3x2-11x+38-118/x+3
8x3-125=0
x=5/2
Factor x3-264
(x-6)(x2+6x+36)
n(x)=x3-5x2+8x-2
Maximum:(0,4)
Minimum:(3,4)
Domain:All real numbers
Range:(-∞,∞)
X-Intercept:(0,0) (3,0)
3x3-27x
3x(x+3)(x-3)
Divide 4x4-2x3+5x2+x+3 by x-2 using long division
4x3+6x2+17x+35+73/x-2
x4-16=0
x=+-2
x4-8x2+16=0
x=+-2