Factoring Quadratics a=1

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, 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 for a quadratic to be factorable?

Back

A quadratic is factorable if it can be expressed as the product of two binomials.

Front

What is the standard form of a quadratic equation?

Back

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

Front

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

Back

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

Front

Factor the expression: x² + 5x + 6

Back

(x + 2)(x + 3)

Front

What is the zero-product property?

Back

The zero-product property states that if the product of two factors is zero, then at least one of the factors must be zero.

Tags

CCSS.HSA-REI.B.4B

Front

How do you apply the zero-product property to solve quadratic equations?

Back

Set each factor equal to zero and solve for the variable.

Tags

CCSS.HSA-REI.B.4B

Front

Factor the expression: x² - 9

Back

(x - 3)(x + 3) (This is a difference of squares.)

Tags

CCSS.HSA.APR.C.4

Front

What is the difference of squares?

Back

The difference of squares is a special factoring case where a² - b² = (a - b)(a + b).

Tags

CCSS.HSA.APR.C.4