Transparency 6
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Transcript of Transparency 6
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Click the mouse button or press the Click the mouse button or press the Space Bar to display the answers.Space Bar to display the answers.
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Determine whether is a perfect square trinomial. If so, factor it.
Answer: is a perfect square trinomial.
3. Is the middle term equal to ? Yes,
1. Is the first term a perfect square? Yes,
2. Is the last term a perfect square? Yes,
Write as
Factor using the pattern.
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Determine whether is a perfect square trinomial. If so, factor it.1. Is the first term a perfect square? Yes,
2. Is the last term a perfect square? Yes,3. Is the middle term equal to ? No,
Answer: is not a perfect square trinomial.
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Determine whether each trinomial is a perfect square trinomial. If so, factor it.
a.
b.
Answer: not a perfect square trinomial
Answer: yes;
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Factor .First check for a GCF. Then, since the polynomial has two terms, check for the difference of squares.
6 is the GCF.
and
Factor the difference of squares.
Answer:
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Factor .
This polynomial has three terms that have a GCF of 1. While the first term is a perfect square,the last term is not. Therefore, this is not a perfect square trinomial.
This trinomial is in the form Are there two numbers m and n whose product is and whose sum is 8? Yes, the product of 20 and –12 is –240 and their sum is 8.
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Write the pattern.
and
Group terms with common factors.
Factor out the GCF from each grouping.
is thecommon factor.
Answer:
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Factor each polynomial.
a.
b.
Answer:
Answer:
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Solve
Recognizeas a perfect square trinomial.
Original equation
Factor the perfect square trinomial.Set the repeated factor equal to zero.
Solve for x.
Answer: Thus, the solution set is Check this
solution in the original equation.
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Solve
Answer:
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Solve .Original equation
Square Root Property
Add 7 to each side.
Simplify.
Separate into two equations.or
Answer: The solution set is Check each solution in the original equation.
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Solve .
Original equation
Recognize perfect square trinomial.
Factor perfect square trinomial.
Square Root Property
Subtract 6 from each side.
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Answer: The solution set is Check this solution in the original equation.
or Separate into two equations.
Simplify.
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Solve .
Original equation
Square Root Property
Subtract 9 from each side.
Answer: Since 8 is not a perfect square, the solution set is
Using a calculator, the approximate
solutions are or about –6.17 and
or about –11.83.
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Check You can check your answer using a graphing calculator. Graph and Using the INTERSECT feature of your graphing calculator, find where The check of –6.17 as one of the approximate solutions is shown.
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Solve each equation. Check your solutions.
a.
b
c.
Answer:
Answer:
Answer: