Solving Equations by Factoring

Front

What is the factored form of x² - 9x + 20?

Back

(x - 4)(x - 5)

Front

What are the solutions of the quadratic equation x² + 5x + 6 = 0?

Back

x = -3 or x = -2

Front

What are the solutions of the quadratic equation x² - 5x + 6 = 0?

Back

x = 3 or x = 2

Front

What is the factored form of x² - 25?

Back

(x + 5)(x - 5)

Front

What are the solutions of the quadratic equation x² + 12x + 35 = 0?

Back

x = -5 or x = -7

Front

What is the first step in factoring a quadratic equation?

Back

Identify the coefficients a, b, and c in the standard form ax² + bx + c.

Front

What does it mean for a quadratic equation to be factorable?

Back

It means that the equation can be expressed as a product of two binomials.

Front

What is the zero-product property?

Back

If ab = 0, then a = 0 or b = 0.

Front

How do you check if your factored form is correct?

Back

Expand the factored form and see if it equals the original quadratic equation.

Front

What is the significance of the discriminant in a quadratic equation?

Back

It determines the nature of the roots: positive (two real roots), zero (one real root), negative (no real roots).