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Join the points using a smooth curve. If you have n points choose a polynomial of degree at most (n-1). You will always be able to find polynomials of degree n or higher that will fit but disregard them.

The roots are the points at which the graph intersects the x-axis.

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Q: How do you find the roots of a polynomial of graphed points?
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How do you find out the number of imaginary zeros in a polynomial?

Descartes' rule of signs (see related link) can help you determine the maximum number of real roots. If the polynomial is odd powered, then there will be at least one real root. Any even powered polynomial can be factored into a bunch of quadratics [though they may not be rational or even pretty], and any odd-powered polynomial can be factored into a bunch of quadratics and one linear (this one would have the real root). So the quadratics may have pairs of real or complex roots (having an imaginary component).To clarify, when I say complex, I'm referring to the fact that there will be an imaginary component to the root, because actually the real numbers is a subset of the set of complex numbers.The order of the polynomial will tell you how many roots it will have. If you can graph the polynomial, then you can see if it crosses the x axis. If it is a 5th order polynomial, and crosses the x axis 3 times, then there are 3 real roots (the other two roots are complex).


Is 13 a polynomial If it is find its degree and classify it by the number of its terms?

13 is not a polynomial.


How do you find the greatest common factor of a polynomial?

A single polynomial cannot have a greatest commonfactor. There is nothing that it will be in common with!


To find the factors of a polynomial from its graph follow this rule If the number is a root of a polynomial then x - b is a factor?

a


Can the rational zero test be used to find irrational roots as well as rational roots?

Rational zero test cannot be used to find irrational roots as well as rational roots.

Related questions

How do you find a degree of a graphed polynomial?

Factors


The polynomial given roots?

Do mean find the polynomial given its roots ? If so the answer is (x -r1)(x-r2)...(x-rn) where r1,r2,.. rn is the given list roots.


You can also use of a polynomial to help you find its factors and roots?

graph!


You can use the BLANK of a polynomial to help you find its factors or roots?

Graph factor


Find the roots of the polynomial given 4x2 - 3x - 5?

No integer roots. Quadratic formula gives 1.55 and -0.81 to the nearest hundredth.


What are the roots of the polynomial x2 plus 3x plus 5?

You can find the roots with the quadratic equation (a = 1, b = 3, c = -5).


How do i find the slope of a graphed line?

you look at the line and see if there are any direct points on the line the slope formula


Can you find a third degree polynomial equation with rational coefficients that has the given numbers as roots 3i and 7?

Yes, easily. Even though the question did not ask what the polynomial was, only if I could find it, here is how you would find the polynomial: Since the coefficients are rational, the complex (or imaginary) roots must form a conjugate pair. That is to say, the two complex roots are + 3i and -3i. The third root is 7. So the polynomial, in factorised form, is (x - 3i)(x + 3i)(x - 7) = (x2 + 9)(x - 7) = x3 - 7x2 + 9x - 63


What 2 values of x are roots of the polynomial x2 plus 3x-5?

You can find the roots with the quadratic equation (a = 1, b = 3, c = -5).


what are all of the zeros of this polynomial function f(a)=a^4-81?

Find All Possible Roots/Zeros Using the Rational Roots Test f(x)=x^4-81 ... If a polynomial function has integer coefficients, then every rational zero will ...


How do you find multiple t?

You find a multiple of a number by multiplying that number by any whole number.


How do you find out the number of imaginary zeros in a polynomial?

Descartes' rule of signs (see related link) can help you determine the maximum number of real roots. If the polynomial is odd powered, then there will be at least one real root. Any even powered polynomial can be factored into a bunch of quadratics [though they may not be rational or even pretty], and any odd-powered polynomial can be factored into a bunch of quadratics and one linear (this one would have the real root). So the quadratics may have pairs of real or complex roots (having an imaginary component).To clarify, when I say complex, I'm referring to the fact that there will be an imaginary component to the root, because actually the real numbers is a subset of the set of complex numbers.The order of the polynomial will tell you how many roots it will have. If you can graph the polynomial, then you can see if it crosses the x axis. If it is a 5th order polynomial, and crosses the x axis 3 times, then there are 3 real roots (the other two roots are complex).