Write a polynomial function with given zeros and multiplicity calculator

The calculator will try to find the zeros (exact and numerical, real and complex) of the linear, quadratic, cubic, quartic, polynomial, rational, irrational, exponential, logarithmic, trigonometric, hyperbolic, and absolute value function on the given interval.

Your input: solve the equation $$$x^{4} - 16 x^{3} + 90 x^{2} - 224 x + 245=0$$$ for $$$x$$$ on the interval $$$\left( -\infty,\infty \right )$$$

Answer

Real roots

$$$x=5$$$

$$$x=7$$$

Complex roots

$$$x=2 + \sqrt{3} i\approx 2.0 + 1.73205080756888 i$$$

$$$x=2 - \sqrt{3} i\approx 2.0 - 1.73205080756888 i$$$

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Welcome to MathPortal. This website's owner is mathematician Miloš Petrović. I designed this website and wrote all the calculators, lessons, and formulas.

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Add to both sides of the equation.

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

Pull terms out from under the radical, assuming positive real numbers.

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the to find the first solution.

Next, use the negative value of the to find the second solution.

The complete solution is the result of both the positive and negative portions of the solution.

The multiplicity of a root is the number of times the root appears. For example, a factor of would have a root at with multiplicity of .

(Multiplicity of )

(Multiplicity of )

Find a function

Degree of the function:

Symmetries:
axis symmetric to the y-axis
point symmetric to the origin

y-axis intercept

Roots / Maxima / Minima /Inflection points:
at x=
at x=
at x=
at x=
at x=

Characteristic points:
at |)
at |)
at |)
at (|)
at (|)

Slope at given x-coordinates:
Slope at x=
Slope at x=
Slope at

How do you find the polynomial function with given zeros?

What is the multiplicity of the zero of the polynomial function?