Find a polynomial function that has the given zeros calculator

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:
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at (|)
at (|)

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

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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The polynomial generator generates a polynomial from the roots introduced in the Roots field.

Input the roots here, separated by comma

Roots =         

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How do you find a polynomial function with given zeros?