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 the factored form of a quadratic equation?

Back

The factored form of a quadratic equation is expressed as (ax + b)(cx + d), where a, b, c, and d are constants.

Front

What is the purpose of factoring quadratics?

Back

Factoring quadratics helps to find the roots or solutions of the quadratic equation, making it easier to solve.

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.

Front

What are the factors of x² + 5x + 6?

Back

(x + 2)(x + 3)

Front

What is the difference of squares?

Back

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

Front

What is the factored form of x² - 16?

Back

(x - 4)(x + 4) - this is an example of the difference of squares.

Front

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

Back

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

Front

What is the factored form of x² - 10x + 24?

Back

(x - 4)(x - 6) - factors are 4 and 6.

Front

What is the factored form of 2x² + 8x?

Back

2x(x + 4) - factor out the common term.