Factoring Quadratics Practice ("a" greater than 1)

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What does it mean to factor a quadratic equation?

Back

Factoring a quadratic equation means rewriting it as a product of two binomials, such as (px + q)(rx + s) = 0.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0.

Front

What is the leading coefficient in a quadratic equation?

Back

The leading coefficient is the coefficient 'a' in the quadratic equation ax² + bx + c.

Front

How do you factor a quadratic equation when a > 1?

Back

To factor a quadratic equation when a > 1, look for two numbers that multiply to ac and add to b, then rewrite the middle term.

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.

Front

What is the difference between factoring and expanding?

Back

Factoring is breaking down an expression into simpler components (products), while expanding is multiplying out the components to form a single expression.

Front

What is a binomial?

Back

A binomial is a polynomial with two terms, such as (x + 3) or (2x - 5).

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation.

Front

What are the roots of a quadratic equation?

Back

The roots of a quadratic equation are the values of x that make the equation equal to zero.