Determine if the expression - 10c3 – c4 + 3c2 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.

The expression is a fourth grade trinomial.

Step-by-step explanation:

Mathematically speaking, a polynomial is an equation of the form:

(1)

Where:

- Dependent variable.

- Independent variable.

- i-th Coefficient of the polynomial.

- Grade of the polynomial

Let be a fourth-grade polynomial, then the expression must be in the form:

(2)

If we know that , , and , then we have the following polynomial:

By Commutative Property:

We have a polynomial with three elements.

Therefore, the expression is a fourth grade trinomial.

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80