### All ACT Math Resources

## Example Questions

### Example Question #1 : Polynomials

What type of equation is the following?

(y + 2)(y + 4)(y + 1) = z

**Possible Answers:**

cubic

quartic

quadratic

linear

constant

**Correct answer:**

cubic

The degree of a polynomial is the highest exponent of the terms.

Degree 0 – constant

Degree 1 – linear

Degree 2 – quadratic

Degree 3 – cubic

Degree 4 – quartic

Multiply out the equation:

(y + 2)(y + 4)(y + 1) = z

(y^{2} + 2y + 4y + 8)(y + 1) = z

y^{3} + 2y^{2} + 4y^{2} + 8y + y^{2} + 2y + 4y + 8 = z

The highest exponent is y^{3};therefore the equation is a degree 3 cubic.

### Example Question #1 : Polynomials

Find the degree of the polynomial:

**Possible Answers:**

**Correct answer:**

The degree of a polynomial is determined by the term with the highest degree. In this case that is , which has a degree of .

### Example Question #3 : Polynomials

What is the degree of the following polynomial?

**Possible Answers:**

**Correct answer:**

The degree of a polynomial is determined by the term with the highest degree. In this case, the first term, , has the highest degree, . The degree of a term is calculated by adding the exponents of each variable in the term.