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[B] MULTIPLE-CHOICE QUESTION What is the leading term in the polynomial f(x)=-5x^3+2x^6+7x-2x^5+1 -2x^5 -5x^3 2x^6 7x

Question

[B] MULTIPLE-CHOICE QUESTION What is the leading term in the polynomial f(x)=-5x^3+2x^6+7x-2x^5+1 -2x^5 -5x^3 2x^6 7x

[B] MULTIPLE-CHOICE QUESTION
What is the leading term in the polynomial
f(x)=-5x^3+2x^6+7x-2x^5+1
-2x^5
-5x^3
2x^6
7x

Solution

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AustinMaster · Tutor for 5 years

Answer

### C. $2x^{6}$

Explain

## Step 1: Arrange the Polynomial in Descending Order of Exponents<br />### We arrange the terms of the polynomial $f(x)$ from the highest power of $x$ to the lowest: $f(x) = 2x^6 - 2x^5 - 5x^3 + 7x + 1$.<br /><br />## Step 2: Identify the Leading Term<br />### The leading term of a polynomial is the term with the highest power of the variable. In the rearranged polynomial $f(x) = 2x^6 - 2x^5 - 5x^3 + 7x + 1$, the term with the highest power of $x$ is $2x^6$.
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