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.

Tags

CCSS.HSA-REI.B.4B

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.

Tags

CCSS.HSA-REI.B.4B

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.

Tags

CCSS.HSA-REI.B.4B

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.

Tags

CCSS.HSA-REI.B.4B