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Chapter 9: Q80. (page 535)

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

4x2鈭�20x+25

Short Answer

Expert verified

Yes, the factor of a given trinomial is 2x鈭�52x鈭�5.

Step by step solution

01

Step 1. Check.

Check whether the given trinomial is a perfect square or not.

Here, the first term is 4x2=2x2.

Middle term is 20x=22x5, which is in the form of 2ab.

The last term is 25=52.

So, the given trinomial is a perfect square.

02

Step 2. Factor the trinomial.

Factor the perfect square trinomial.

4x2鈭�10x鈭�10x+25=2xx鈭�5鈭�52x鈭�5

03

Step 3. Simplify.

Simplify the above-obtained expression.

2x鈭�52x鈭�5

Therefore, the factor 4x2鈭�20x+25is 2x鈭�52x鈭�5.

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