Form a polynomial calculator with given zeros and degree

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

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

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

I have found a million calculators and methods for Mathway & Wolfram Alpha for turning a function into degrees / coefficients, but not the other way around. Help?

"Question Use the given information about the polynomial graph to write the polynomial. Write the polynomial in standard form axn+bxn−1+….

Degree: 3, Zeros at (8,0), (−4,0), (1,0), y-intercept (0,32). Leading coefficient is 1."

Form a polynomial calculator with given zeros and degree

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Form a polynomial calculator with given zeros and degree

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Number Line

Form a polynomial calculator with given zeros and degree

Graph

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Examples

  • -4x^3+6x^2+2x=0
  • 6+11x+6x^2+x^3=0
  • 2x^5+x^4-2x-1=0
  • 11+6x+x^2=-\frac{6}{x}
  • x^3-2x=0
  • 2x^5+x^4-2x-1=0

polynomial-equation-calculator

en

Form a polynomial calculator with given zeros and degree

Related » Graph » Number Line » Similar » Examples »

Form a polynomial calculator with given zeros and degree

Our online expert tutors can answer this problem

Get step-by-step solutions from expert tutors as fast as 15-30 minutes. Your first 5 questions are on us!

You are being redirected to Course Hero

I want to submit the same problem to Course Hero

Correct Answer :)

Let's Try Again :(

Try to further simplify

Number Line

Form a polynomial calculator with given zeros and degree

Graph

Hide Plot »

Sorry, your browser does not support this application

Examples

  • degree\:(x+3)^{3}-12
  • degree\:57y-y^{2}+(y+1)^{2}
  • degree\:(2x+3)^{3}-4x^{3}
  • degree\:3x+8x^{2}-4(x^{2}-1)

polynomial-degree-calculator

en

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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 write a polynomial with given zeros and degree?

Form a Polynomial given the Degree and Zeros.
Distribute the minus..
Multiply each term in one factor by each term in the other factor..
simplify..
combine like terms..

How do you write a polynomial function with given zeros?

We will use the following steps to write a polynomial function from its given zeros: Convert the zeros to factors. Multiply the factors. Combine like terms and write with powers of x in descending order, which is the standard form of a polynomial function.