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Chapter 9: Q79. (page 535)

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

4x2+4x+1

Short Answer

Expert verified

Yes, the factor of given trinomial are 2x+12x+1.

Step by step solution

01

Step 1. Check.

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

Here, first term is 4x2=2x2.

Middle term is 4x=22x1, which is in the form of 2ab.

Last term is 12=1.

So, the given trinomial is a perfect square.

02

Step 2. Factor the trinomial.

Factor the perfect square trinomial.

4x2+2x+2x+1=2x2x+1+12x+1

03

Step 3. Simplify.

Simplify the above obtained expression.

2x+12x+1

Therefore, the factor of4x2+4x+1 are 2x+12x+1.

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