Factoring

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 factored form of a^2 - a - 12?

Back

(a - 4)(a + 3)

Front

What is the factored form of x^2 - 25?

Back

(x + 5)(x - 5)

Front

Which expression is a factor of 4n^2 - 17n - 15?

Back

4n + 3

Front

Which expression is a factor of x^2 - 10x + 24?

Back

x - 4

Front

What is the factored form of 3x^2 + 10x - 8?

Back

(3x - 2)(x + 4)

Front

What does it mean for an expression to be prime in factoring?

Back

An expression is prime if it cannot be factored into simpler expressions.

Front

What is the difference between factoring and expanding an expression?

Back

Factoring breaks an expression into products, while expanding multiplies out the factors to form a polynomial.

Front

What is the first step in factoring a quadratic expression?

Back

Identify the coefficients of the quadratic, linear, and constant terms.

Front

What is the significance of the zero product property in factoring?

Back

If the product of two factors is zero, at least one of the factors must be zero.