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What best describes a root of a polynomial?

Updated: 4/28/2022
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A value of the variable when the polynomial has a value of 0. Equivalently, the value of the variable when the graph of the polynomial intersects the variable axis (usually the x-axis).

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Q: What best describes a root of a polynomial?
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Which best describes a root of a polynomial?

A "root" of a polynomial is any value which, when replaced for the variable, results in the polynomial evaluating to zero. For example, in the polynomial x2 - 9, if you replace "x" by 3, or by -3, the resulting expression is equal to zero.


Which mathematical term describes the x-value of a point where the graph of a polynomial crosses the x-axis?

A root or a zero of the polynomial.


What is the number which when substituted in a polynomial makes its value zero?

A root.


Why does every polynomial have a real root?

1+x2 is a polynomial and doesn't have a real root.


Which best describes pi?

π is a transcendental number which is defined to be the ratio between the diameter and circumference of any circle. (A transcendental number is a number which is not a root of a non-zero polynomial with rational coefficients.)


What is the root of a problem?

If you mean a math problem, "root" is another word for "solution".The "root" of a polynomial in "x" is any value for "x" which will set the polynomial equal to zero, when evaluated.If you mean a math problem, "root" is another word for "solution".The "root" of a polynomial in "x" is any value for "x" which will set the polynomial equal to zero, when evaluated.If you mean a math problem, "root" is another word for "solution".The "root" of a polynomial in "x" is any value for "x" which will set the polynomial equal to zero, when evaluated.If you mean a math problem, "root" is another word for "solution".The "root" of a polynomial in "x" is any value for "x" which will set the polynomial equal to zero, when evaluated.


Is x minus the square root of 11 a polynomial?

Yes, it is a linear polynomial.


Is the square root of x a polynomial?

No,


Is a polynomial with square root a polynomial?

It is a polynomial if the square root is in a coefficient but not if it is applied to the variable. A polynomial can have only integer powers of the variable. Thus: sqrt(2)*x3 + 4*x + 3 is a polynomial expression but 2*x3 + 4*sqrt(x) + 3 is not.


Which Best describes the relationship between (x plus 1) and the polynomial x2 - x - 2?

No it’s not a factor


What is a root of a polynomial function?

A value of the variable that makes the polynomial equal to zero (apex)


Is the square root of x plus 2 a polynomial?

No. by definition, the polynomial should contain an integer as exponent and square root 1/2 is not an integer.