SOLUTION: (1)What does the Principle of Zero Products state? How is it used to solve a quadratic equation? (2)Explain how to complete the square on x2 + 14x. Then write the resulting per

Question 320743: (1)What does the Principle of Zero Products state? How is it used to solve a quadratic equation?
(2)Explain how to complete the square on x2 + 14x. Then write the resulting perfect square trinomial as the square of a binomial.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
1) The Principle of Zero Prducts states:
If A*B = 0, then either A = 0, or B = 0, or both A and B are 0.
In solving quadratic equations by factoring, you typically end up with two binomial factors whose product equals zero; for example...
and, when factored you get:
Applying the principle of Zero Products, you can state that...
or from which follows...
or
2) To complete the square of you will add the square of half the x-coefficient to both sides of the equation, thus...
Simplifying this you get...
Factoring the left side gives you...
which is readily solved by taking the square root of both sides and solving for x.
or so that...
or
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