Write each polynomial in standard form. Identify the leading coefficient. 4x + 2x5 – 6x3 + 2

Given:

The polynomial is

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).

The standard form of the polynomial is

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

Therefore, the standard form of the polynomial is and the leading coefficient is 2.

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