Basic Factoring Review

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 2a³-2a²?

Back

2a²(a-1)

Front

What is the factored form of 5n³-10n²+3n-6?

Back

(5n²+3)(n-2)

Front

What is the factored form of 4n²-17n-15?

Back

(n-5)(4n+3)

Front

What is the factored form of n² + 16n + 63?

Back

(n+7)(n+9)

Front

What is the factored form of x³+7x²-2x-14?

Back

(x²-2)(x+7)

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 greatest common factor (GCF)?

Back

The GCF is the largest factor that two or more numbers or expressions share.

Front

What is the difference of squares?

Back

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

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b²-4ac)) / (2a), used to find the roots of a quadratic equation.