Factoring Quadratics

Front

What is factoring in algebra?

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.

Front

What are the common methods for factoring quadratics?

Back

Common methods include factoring by grouping, using the quadratic formula, and recognizing special products.

Tags

CCSS.HSA-REI.B.4B

Front

What is the factored form of a quadratic expression?

Back

The factored form of a quadratic expression is expressed as (px + q)(rx + s), where p, q, r, and s are constants.

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

Back

To factor, find two numbers that multiply to c and add to b, then express as (x + m)(x + n).

Front

What are the factors of x² - 8x - 48?

Back

(x - 12)(x + 4) are the factors.

Front

What are the factors of 3x² - 17x + 10?

Back

(x - 5)(3x - 2) are the factors.

Front

What is the factored form of 25x² - 9?

Back

(5x + 3)(5x - 3) is the factored form.

Tags

CCSS.HSA.APR.C.4

Front

What are the factors of x² + 3x - 40?

Back

(x + 8)(x - 5) are the factors.