Part A: Create a fifth-degree polynomial with three terms in standard form. How do you know it is in standard form?

Step-by-step explanation:

We can simply call a polynomial to be an algebraic arrangement of symbols donating values (expressions) showing the sum of monomials.

An example of a polynomial is:

2x - 4 + 6x⁵

Now, the above polynomial can be classified based on its degree. The degree of a polynomial can be estimated by taking look at the variable's exponent or the sum of the variable's exponent in that polynomial.

So;

2x has an exponent of 1

4 has no exponent since it is a constant (monomial)

6x⁵ has an exponent of 5

However, the best way to write a polynomial is in standard form. To do this, we always consider each terms' degree and arrange them from the highest to the lowest.

From the above example:

2x - 4 + 6x⁵

2x = 1 degree

4 = 0 degree

6x⁵ = 5 degree

Thus, the order of degree is :

6x⁵ + 2x - 4

The above expression is called a fifth-degree polynomial.

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step-by-step explanation: