In Problems 1-3, complete the square in the given expression. Then factor the perfect square trinomial.
1. z2 + 10z
To complete: The square in
Answer to Problem 1PCT
The perfect square trinomial is
Explanation of Solution
Property used:
(1) To obtain a Perfect Square Trinomial:
Multiply the coefficient of the first degree term by
(2) The factored form of the perfect square trinomial
Calculation:
Note that
Substitute
Use the above property and add 25 to
Thus, the perfect square trinomial is
Notice that
Substitute x with z and
Therefore, the perfect square trinomial is
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- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning