Is the algebraic expression a polynomial? If it is, write

Shelia Lawrence

Shelia Lawrence

Answered question

2021-12-30

Is the algebraic expression a polynomial? If it is, write the polynomial in standard form : x2x3+x45.

Answer & Explanation

Jenny Bolton

Jenny Bolton

Beginner2021-12-31Added 32 answers

Step 1 
Definition: 
The formula for the norm of a polynomial function of degree n is anxn+an1xn1++a1x+a0 where an0
Step 2 
x2x3+x45 is the algebraic expression provided.
Yes. The algebraic expression x2x3+x45 is a polynomial of degree 4. 
Its standard form is x4x3+x25.

Anzante2m

Anzante2m

Beginner2022-01-01Added 34 answers

This fits the definition of a polynomial. It has multiple terms as well as non-negative integers for exponents. To put it in standard form, we put the exponents in descending order.
Result:
x4x3+x25
Vasquez

Vasquez

Expert2022-01-09Added 669 answers

A polynomial is a single term or the sum of two or more terms containing variables with whole-number exponents.
Each term has a variable with whole-number exponent so the algebraic expression is a polynomial. Note that the constant term has a variable with exponent 0.
A polynomial In standard form is written in the order of descending powers of the variable.
So, we rewrite the given as:
x4x3+x25
Result:
yes; x4x3+x25

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