Question

Is the algebraic expression a polynomial? If it is,write the polynomial in standard form. x^{2}-x^{3}+x^{4}-5

Applications of integrals
ANSWERED
asked 2021-02-13
Is the algebraic expression a polynomial? If it is,write the polynomial in standard form.
\(\displaystyle{x}^{{{2}}}-{x}^{{{3}}}+{x}^{{{4}}}-{5}\)

Answers (1)

2021-02-15
Step 1
Expression given −
\(\displaystyle{x}^{{{2}}}-{x}^{{{3}}}+{x}^{{{4}}}-{5}\)
Any equation of the form of \(\displaystyle{a}_{{{n}}}{x}^{{{n}}}\) is a polynomial, where a is the coefficient and x is the variable.
So, the given expression is a polynomial.
Step 2
The standard form of a polynomial is the one in which the highest degree comes first and then the lower ones.
Standard form of given expression −
\(\displaystyle{x}^{{{4}}}-{x}^{{{3}}}+{x}^{{{2}}}-{5}\)
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