Quadratic Factoring

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 difference of squares formula?

Back

The difference of squares formula states that a² - b² = (a + b)(a - b).

Front

How do you factor the expression x² - 25?

Back

You can factor x² - 25 using the difference of squares formula: (x + 5)(x - 5).

Front

What is the factored form of 4y² - 9?

Back

The factored form of 4y² - 9 is (2y + 3)(2y - 3), using the difference of squares.

Front

How do you factor a quadratic expression in the form x² + bx + c?

Back

To factor x² + bx + c, find two numbers that multiply to c and add to b, then rewrite the expression as (x + m)(x + n), where m and n are those numbers.

Front

What is the factored form of x² - 16x + 24?

Back

The factored form of x² - 16x + 24 is (x - 2)(x - 14).

Front

How do you factor x² - 2x - 24?

Back

To factor x² - 2x - 24, find two numbers that multiply to -24 and add to -2. The factored form is (x + 4)(x - 6).

Front

What is the process for factoring a quadratic expression of the form ax² + bx + c?

Back

The process involves finding the greatest common factor (if any), identifying two numbers that multiply to ac and add to b, and then rewriting the expression in factored form.

Front

What is the factored form of 2x² - 5x + 2?

Back

The factored form of 2x² - 5x + 2 is (2x - 1)(x - 2).