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 + 9x - 36?

Back

(x + 12)(x - 3)

Front

What is the factored form of 4x^2 - 25x + 25?

Back

(x - 5)(4x - 5)

Front

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

Back

4n + 3

Front

What is the factored form of x^2 - 9?

Back

(x + 3)(x - 3)

Front

What is a common factor?

Back

A common factor is a number or expression that divides two or more numbers or expressions without leaving a remainder.

Front

What is the difference of squares?

Back

The difference of squares is a special factoring pattern that states a^2 - b^2 = (a - b)(a + b).

Front

What is the first step in factoring a quadratic expression?

Back

The first step is to look for two numbers that multiply to the constant term and add to the coefficient of the linear term.

Front

What does it mean to factor by grouping?

Back

Factoring by grouping involves rearranging and grouping terms in an expression to factor out common factors.