Math 3 Final Fall 2025

Front

What is the Zero-Product Property?

Back

The Zero-Product Property states that if the product of two factors is zero, then at least one of the factors must be zero. This is used to solve quadratic equations.

Front

Factor the expression: 5x^3 - 7x^2

Back

x^2(5x - 7)

Front

Solve the equation using the Zero-Product Property: (x - 11)(5x + 1) = 0

Back

x = 11 or x = -\frac{1}{5}

Front

Identify the 'a' value in the quadratic equation: y = 16x^2 - 8x - 24

Back

The 'a' value is 16.

Front

Multiply the expressions: (6x^2)(-3x^5)

Back

-18x^7

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax^2 + bx + c, where a, b, and c are constants.

Front

What does it mean for an expression to be factored completely?

Back

An expression is factored completely when it is expressed as a product of its prime factors.

Front

What is the difference between a polynomial and a monomial?

Back

A polynomial is a sum of two or more monomials, while a monomial is a single term.

Front

What is the degree of the polynomial 5x^3 - 7x^2 + 2?

Back

The degree is 3, which is the highest exponent of the variable.

Front

What is the formula for the quadratic formula?

Back

The quadratic formula is x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}.