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Find the degree, leading coefficient, and leading term of a polynomial step by step
The calculator will find the degree, leading coefficient, and leading term of the given polynomial function.
Your Input
Find the degree, the leading coefficient, and the leading term of $$$p{\left(x \right)} = 5 x^{7} + 2 x^{5} - 4 x^{3} + x^{2} + 15$$$.
Solution
The degree of a polynomial is the highest of the degrees of the polynomial's individual terms. In our case, the degree is $$$7$$$.
The leading term is the term with the highest degree. In our case, the leading term is $$$5 x^{7}$$$.
The leading coefficient is the coefficient of the leading term. In our case, the leading coefficient is $$$5$$$.
Answer
Degree: $$$7$$$A.
Leading coefficient: $$$5$$$A.
Leading term: $$$5 x^{7}$$$A.
Find a function
Degree of the function:
| 1 | 2 | 3 | 4 | 5 |
( The degree is the highest power of an x. )
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
Summary :
The degree function calculates online the degree of a polynomial.
degree online
Description :
The computer is able to calculate online the degree of a polynomial.
Calculating the degree of a polynomial
The calculator may be used to determine the degree of a polynomial.
To obtain the degree of a polynomial defined by the following expression `x^3+x^2+1`, enter : degree(`x^3+x^2+1`) after calculation, the result 3 is returned.
Calculating the degree of a polynomial with symbolic coefficients
The calculator is also able to calculate the degree of a polynomial that uses letters as coefficients.
To obtain the degree of a polynomial defined by the following expression : `ax^2+bx+c` enter degree(`ax^2+bx+c`) after calculation, result 2 is returned.
Syntax :
degree(polynomial)
Examples :
degree(`x^3+x^2+1`), returns 3
Calculate online with degree (degree of a polynomial)
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If you want to contact me, probably have some questions, write me using the contact form or email me on [email protected]
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