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stira [4]
3 years ago
10

Write each polynomial in standard form. Identify the leading coefficient.

Mathematics
1 answer:
murzikaleks [220]3 years ago
3 0

Given:

The polynomial is

4x+2x^5-6x^3+2

To find:

The standard form of the polynomial and leading coefficient.

Solution:

In standard form of a polynomial, we arrange the terms in descending order of their degrees.

Leading coefficient is the constant value before the variable with highest power.

Let the given polynomial be p(x).

p(x)=4x+2x^5-6x^3+2

The standard form of the polynomial is

p(x)=2x^5-6x^3+4x+2

The highest power of x is 5 and 2 is before x^5. The leading coefficient is 2.

Therefore, the standard form of the polynomial is 2x^5-6x^3+4x+2 and the leading coefficient is 2.

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