Factor Completely and Solving by Factoring

Front

What is the difference of squares formula?

Back

a^2 - b^2 = (a - b)(a + b)

Front

How do you factor a polynomial completely?

Back

1. Look for a common factor. 2. Use special factoring formulas (difference of squares, perfect square trinomials). 3. Factor by grouping if applicable. 4. Continue until fully factored.

Front

What is the factored form of 81m^2 - 1?

Back

(9m - 1)(9m + 1)

Front

What is the first step in factoring 3x^5 - 27x^3?

Back

Factor out the greatest common factor, which is 3x^3.

Front

What is the factored form of 3x^5 - 27x^3?

Back

3x^3(x - 3)(x + 3)

Front

How do you solve a quadratic equation by factoring?

Back

1. Set the equation to zero. 2. Factor the quadratic expression. 3. Set each factor equal to zero and solve for the variable.

Front

What are the roots of the equation 2x^2 + 17x + 21 = 0?

Back

x = -7, x = -3/2

Front

What is the factored form of x^3 + 3x^2 - 4x - 12?

Back

(x + 3)(x + 2)(x - 2)

Front

What is the first step in factoring 24x^3 + 18x^2 - 6x?

Back

Factor out the greatest common factor, which is 6x.

Front

What is the factored form of 24x^3 + 18x^2 - 6x?

Back

6x(x + 1)(4x - 1)