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Chapter 9: Q10. (page 523)

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

x2鈭�12x+32

Short Answer

Expert verified

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

Step by step solution

01

Step1. Given

x2鈭�12x+32

02

Step2. Observe the given trinomial x2−12x+32.

The given trinomial is: x2鈭�12x+32

The first, middle, and last terms of the given trinomial are x2,-12xand 32 respectively.

The first term of the given trinomial can be written as:

x2=x2

Therefore, the first term of the given trinomial is a perfect square.

The last term of the given trinomial is not a perfect square.

03

Step3. Determine whether the given trinomial x2+5x+25 is a perfect square trinomial.

As the first term of the given trinomial is a perfect square but the last term of the given trinomial is not a perfect square.

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

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Most popular questions from this chapter

Use a table of values to graph each equation.

y=x+3

Graph each function. Find the y-intercept, and state the domain and range.

y=鈭�311x

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

5t2鈭�12t+25

Describe how the graph of the function fx=x2+8is related to the graph fx=x2.

Solve each equation by graphing. If integral roots cannot be found, estimate the roots to the nearest tenth.

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