Factoring Quadratics Practice

Front

What is the standard form of a quadratic equation?

Back

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

Front

What does it mean to factor a quadratic expression?

Back

Factoring a quadratic expression means rewriting it as a product of two binomials.

Front

What is the factored form of the quadratic expression x² + 12x + 20?

Back

(x + 2)(x + 10)

Front

How do you determine the factors of a quadratic expression?

Back

To determine the factors, find two numbers that multiply to the constant term and add to the linear coefficient.

Front

What is the factored form of the quadratic expression x² + 5x - 24?

Back

(x + 8)(x - 3)

Front

What is the significance of the leading coefficient in a quadratic expression?

Back

The leading coefficient (a) affects the direction and width of the parabola represented by the quadratic function.

Front

What is the factored form of the quadratic expression 3v² - 4v - 7?

Back

(3v - 7)(v + 1)

Front

What is the process for factoring a quadratic expression when a ≠ 1?

Back

When a ≠ 1, use the method of grouping or trial and error to find two binomials that multiply to the quadratic expression.

Front

What is the factored form of the quadratic expression 4n² - 17n - 15?

Back

(n - 5)(4n + 3)

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.