#3 Factoring Quadratics

Front

What is the factored form of x² + 16x + 15?

Back

(x + 1)(x + 15)

Front

Find the factors of x² - 81.

Back

(x - 9)(x + 9)

Front

Factor 2x² - 13x - 70.

Back

(2x + 7)(x - 10)

Front

Factor 3a² + 4a + 1.

Back

(3a + 1)(a + 1)

Front

What are the factors of x² + 3x - 40?

Back

(x + 8)(x - 5)

Front

What is the definition of a quadratic equation?

Back

A polynomial equation of the form ax² + bx + c = 0, where a ≠ 0.

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax² + bx + c = 0.

Front

What does it mean to factor a quadratic expression?

Back

To express it as a product of its linear factors.

Front

What is the zero-product property?

Back

If ab = 0, then a = 0 or b = 0.

Front

What is the discriminant in a quadratic equation?

Back

The discriminant is b² - 4ac, which determines the nature of the roots.