Mini-Quiz: Solving Quadratic Equations by Factoring

1. How do you solve (x − 5)(x + 7) = 0?

   The equation cannot be solvedSorry, not correct. Try another button. Set (x − 5) = 0 and (x + 7) = 0 and solve each for xThat is correct. You know about factoring. x = −5 + 7Good try, but not right. Select another answer.

2. What is the solution of the equation x2 − 25 = 0?

   x = 25Sorry, not correct. Try another button. You cannot factor an equation with a negative numberOops! Wrong answer. Re-read the question and try again. x = 5 and x = −5Correct. You understand Algebra principles.

3. Why can't you solve x2 + x + 1 = 0 by factoring?

   The expression x2 + x + 1 cannot be factored with rational numbersThat is correct. You know about factoring. You can solve it by factoring, since: (x +1)(x + 1) = 0Good try, but not right. Select another answer. The expression x2 + x + 1 cannot equal 0Oops! Wrong answer. Re-read the question and try again.

Pick an answer to see instant feedback. Re-read the lesson if you miss one.