Factoring Quadratics

Front

What is factoring in mathematics?

Back

Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

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 standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0.

Front

What is the difference of squares?

Back

The difference of squares is a special factoring pattern that states a² - b² = (a - b)(a + b).

Tags

CCSS.HSA.APR.C.4

Front

How do you factor x² - 81?

Back

x² - 81 can be factored as (x - 9)(x + 9) using the difference of squares.

Tags

CCSS.HSA.APR.C.4

Front

What is the sum and product method for factoring quadratics?

Back

The sum and product method involves finding two numbers that add to b and multiply to c in the quadratic ax² + bx + c.

Front

How do you factor x² + 3x - 40?

Back

To factor x² + 3x - 40, find two numbers that add to 3 and multiply to -40: (x + 8)(x - 5).

Front

What is a perfect square trinomial?

Back

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

Tags

CCSS.HSA.APR.C.4

Front

How do you factor 5x² + 20x + 20?

Back

Factor out the common factor: 5(x² + 4x + 4) = 5(x + 2)².

Tags

CCSS.HSA.APR.C.4