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 GCF (Greatest Common Factor)?

Back

The GCF of two or more numbers is the largest number that divides all of them without leaving a remainder.

Front

How do you factor a quadratic equation of the form ax² + bx + c?

Back

To factor a quadratic equation, find two numbers that multiply to ac and add to b, then rewrite the equation using these numbers.

Front

What is the factored form of x² - 9?

Back

(x - 3)(x + 3) - This is a difference of squares.

Front

Factor the expression: x² + 5x + 6.

Back

(x + 2)(x + 3) - These are the factors that multiply to 6 and add to 5.

Front

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

Back

2x(x + 4) - Factor out the GCF, which is 2x.

Front

How do you factor the expression 3x² - 12?

Back

3(x² - 4) = 3(x - 2)(x + 2) - Factor out the GCF and then use the difference of squares.

Front

What is the factored form of 4x² - 16?

Back

4(x - 2)(x + 2) - Factor out the GCF and then use the difference of squares.

Front

Factor the expression: 5x² + 20x.

Back

5x(x + 4) - Factor out the GCF, which is 5x.

Front

What is the factored form of x² + 7x + 10?

Back

(x + 2)(x + 5) - These are the factors that multiply to 10 and add to 7.