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Popular >

p(x)=x^4+6x^3-x^2-30x+24

Solution

p (x) = x^{4} + 6 x^{3} - x^{2} - 30 x + 24

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 1

X Intercepts : (1, 0), (- 4, 0), (\frac{- 3 + 33}{2}, 0), (\frac{- 3 - 33}{2}, 0), Y Intercepts : (0, 24)

Asymptotes : None

Extreme Points : Minimum (\frac{- 3 - 29}{2}, - 1), Maximum (- \frac{3}{2}, \frac{825}{16}), Minimum (\frac{- 3 + 29}{2}, - 1)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 1, \infty)

Solution steps

Domain of

x^{4} + 6 x^{3} - x^{2} - 30 x + 24 : - \infty < x < \infty

Range of

x^{4} + 6 x^{3} - x^{2} - 30 x + 24 : f (x) \geq - 1

Axis interception points of

x^{4} + 6 x^{3} - x^{2} - 30 x + 24 :

X Intercepts

: (1, 0), (- 4, 0), (\frac{- 3 + 33}{2}, 0), (\frac{- 3 - 33}{2}, 0),

Y Intercepts

: (0, 24)

Asymptotes of

x^{4} + 6 x^{3} - x^{2} - 30 x + 24 :

None

Extreme Points of

x^{4} + 6 x^{3} - x^{2} - 30 x + 24 :

Minimum

(\frac{- 3 - 29}{2}, - 1),

Maximum

(- \frac{3}{2}, \frac{825}{16}),

Minimum

(\frac{- 3 + 29}{2}, - 1)

Popular Examples

y = (2 x - 1) (4 x + 3)

m(t)=(0.4+0.6e^t)^5

m (t) = (0.4 + 0.6 e^{t})^{5}

y=2-15x+9x^2-x^3

y = 2 - 15 x + 9 x^{2} - x^{3}

f (x) = a (1 - x)

f (x) = 6 x^{2} - 3 - 7 x

Frequently Asked Questions (FAQ)

What is the p(x)=x^4+6x^3-x^2-30x+24 ?
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