Factoring a=1

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 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 does it mean for a quadratic to be factorable?

Back

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

Front

What is the relationship between the roots of a quadratic and its factors?

Back

The roots of a quadratic equation correspond to the values of x that make the factors equal to zero.

Front

How do you find the factors of a quadratic expression?

Back

To find the factors, look for two numbers that multiply to the constant term and add to the coefficient of the linear term.

Front

Factor the expression: x² - 16x + 48

Back

(x - 12)(x - 4)

Front

Factor the expression: k² - 2k - 24

Back

(k + 4)(k - 6)

Front

Factor the expression: k² + 7k + 10

Back

(k + 2)(k + 5)

Front

Factor the expression: x² + 7x - 30

Back

(x + 10)(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.