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

4x + 2x5 – 6x3 + 2

1 Answer

4 votes

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.

User Sarath Subramanian
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