Question

A polynomial of the 5th degree with a leading coefficient of 7 and a constant of 6

Answer 1

The answer is:

The polynomial will be:

$7x^5 + 8x^4 + 9x^3 + 5x^2 + 3x + 6$

Why?

To write the asked polynomial, we must remember the following:

- The leading coefficient is the coefficient of the highest degree term.

- The degree of the polynomial is defined by its highest exponent.

- The constant terms are terms like numbers or letters that are not related to the variable.

So, we are asked to write a polynomial of the 5th degree with a leading coefficient of 7 and a constant term of 6, so, it will be:

Let "x" be the variable, so, the polynomial will be:

$7x^5 + 8x^4 + 9x^3 + 5x^2 + 3x + 6$

We can see that it has a leading coefficient of 7, is a 5th-degree polynomial and has a constant term of 6.

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