Factoring Review

Front

What is the difference of two squares?

Back

The difference of two squares is a factoring technique used for expressions of the form a^2 - b^2, which can be factored into (a + b)(a - b).

Front

Can you factor an expression with an addition sign using the difference of two squares?

Back

No, the difference of two squares can only be used for expressions with a subtraction sign.

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers or expressions without leaving a remainder.

Front

How do you factor out the GCF from 12x + 6?

Back

The GCF is 6, so it can be factored as 6(2x + 1).

Front

What is the factored form of x^2 + 7x - 30?

Back

The factored form is (x + 10)(x - 3).

Front

What is the solution to the equation x^2 - 100 = 0?

Back

The solutions are x = -10 and x = 10.

Front

How do you factor out the GCF from 10x^3 - 15x?

Back

The GCF is 5x, so it can be factored as 5x(2x^2 - 3).

Front

What is a perfect square?

Back

A perfect square is a number that can be expressed as the square of an integer.

Front

What is the factored form of x^2 - 16?

Back

The factored form is (x + 4)(x - 4).

Front

What is the formula for factoring a trinomial of the form x^2 + bx + c?

Back

To factor, find two numbers that multiply to c and add to b, then express as (x + m)(x + n).