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Write this polynomial in standard form: -2x^-1+5x-x^3 square

Question

Write this polynomial in standard form: -2x^-1+5x-x^3 square

Write this polynomial in standard form:
-2x^-1+5x-x^3
square

Solution

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ClaireVeteran · Tutor for 9 years

Answer

### $-x^3 + 5x$

Explain

## Step 1: Identify the terms of the polynomial.<br />### The given polynomial is $-2x^{-1}+5x-x^{3}$. The terms are $-2x^{-1}$, $5x$, and $-x^3$.<br /><br />## Step 2: Arrange the terms in descending order of exponents.<br />### A polynomial in standard form has its terms arranged from the highest degree to the lowest degree. The term with the highest degree is $-x^3$ (degree 3), followed by $5x$ (degree 1). The term $-2x^{-1}$ is not considered in standard form because it has a negative exponent.<br /><br />## Step 3: Write the polynomial in standard form.<br />### Arranging the terms in descending order of exponents, we get $-x^3 + 5x$.
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