High School

Write the polynomial in descending order. Then identify the leading coefficient and the degree.

Original polynomial: \(-9x + 7 - 4x^6\)

Select one:

A. \(7 - 4x^6 - 9x\); leading coefficient: 7; degree: 3

B. \(-4x^6 + 9x + 7\); leading coefficient: -4; degree: 6

C. \(-4x^6 - 9x + 7\); leading coefficient: -4; degree: 3

D. \(7 - 4x^6 - 9x\); leading coefficient: 7; degree: 6

Answer :

Final Answer:

So, the correct answer is:

C. -4x^6 - 9x + 7; leading coefficient: -4; degree: 6.

Explanation:

To write the polynomial in descending order, we rearrange the terms from highest degree to lowest degree.

The given polynomial is: -9x + 7 - 4x^6

When rearranged in descending order, the polynomial becomes: -4x^6 - 9x + 7

Now, let's identify the leading coefficient and the degree.

The leading coefficient is the coefficient of the term with the highest degree. In this case, the leading coefficient is -4.

The degree of a polynomial is the highest power of the variable. In this case, the highest power is 6. Therefore, the degree of the polynomial is 6.

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