Factoring Quadratics

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, or factors, that when multiplied together give the original expression.

Front

What is a quadratic expression?

Back

A quadratic expression is a polynomial of degree 2, typically in the form ax² + bx + c, where a, b, and c are constants.

Front

What does it mean to factor a quadratic expression?

Back

To factor a quadratic expression means to express 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

Factor the expression: x² - 49

Back

(x + 7)(x - 7)

Front

What is the sum and product method in factoring quadratics?

Back

The sum and product method involves finding two numbers that add up to the coefficient of x (b) and multiply to the constant term (c) in the quadratic expression ax² + bx + c.

Front

Factor the expression: x² + 5x - 24

Back

(x + 8)(x - 3)

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms.

Front

Factor the expression: x² - 5x - 24

Back

(x - 8)(x + 3)

Front

What is the perfect square trinomial?

Back

A perfect square trinomial is a quadratic expression that can be factored into the square of a binomial, such as a² + 2ab + b² = (a + b)².