CA A2 2.3 Factored Form of Quadratic Functions

Front

What is the factored form of the quadratic expression x² + 5x + 6?

Back

(x + 2)(x + 3)

Front

How do you find the solutions for x in the equation x² - x - 56 = 0?

Back

x = -7, x = 8

Front

What is the factored form of the quadratic expression x² + 5x - 50?

Back

(x + 5)(x - 10)

Front

What is the factored form of the quadratic expression x² - 22x - 75?

Back

(x + 3)(x - 25)

Front

Define a quadratic function.

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c.

Front

What is the standard form of a quadratic function?

Back

The standard form is f(x) = ax² + bx + c, where a, b, and c are constants.

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 zero-product property?

Back

If the product of two factors is zero, then at least one of the factors must be zero.

Front

How can you determine the roots of a quadratic equation?

Back

You can determine the roots by factoring, using the quadratic formula, or completing the square.

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a).