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Chapter 9: Q81. (page 535)

Determine whether each trinomial is a perfect square trinomial. Write yes or no. If so, factor it.

9x2+8x+16

Short Answer

Expert verified

No, the given trinomial is not a perfect square trinomial.

Step by step solution

01

Step1. Check.

Check whether the first term of the given trinomial belongs to the perfect square trinomial or not.

Here, the first term is 9x2=3x2.

02

Step 2. Check.

Check whether the middle term of a given trinomial belongs to the perfect square trinomial or not.

Middle term is 8x=23x4, which is not in the form of width="29" height="20" role="math">2ab.

03

Step 3. Check.

Check whether the last term of the given trinomial belongs to the perfect square trinomial or not.

The last term is 25=52.

As the middle term of the given trinomial is not in the form of 2ab, therefore, the given trinomial is not the perfect square trinomial.

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