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What is the leading coefficient for the following polynomial? y=-10x^3 + 4x^2 - 15x^5 + 6x - 8 .

A. -15
B. -10
C. 4
D. -8

1 Answer

4 votes

Final answer:

The leading coefficient of the given polynomial is -15, which is determined after arranging the polynomial terms in descending order by their exponents.

Step-by-step explanation:

To find the leading coefficient of a polynomial, we look at the term with the highest exponent when the polynomial is written in standard form (descending order of exponents). Given the polynomial y = -10x^3 + 4x^2 - 15x^5 + 6x - 8, we should first rearrange the terms in descending order: y = -15x^5 - 10x^3 + 4x^2 + 6x - 8. In this form, it is clear that the term with the highest exponent is -15x^5.

Therefore, the leading coefficient of the polynomial is -15.

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