Factor completely. 4p² + 36p + 81 express the answer in the form (ap+b)2 . enter your answer in the box.

We can factor this polynomial using grouping. What we do is split the 36p into into parts so that we can factor the polynomial one half at a time.

To do so, we first multiply the leading coeffient by the constant. In other words, a times c where . After multiplying 4 and 81, we get 324. Now we need to find two numbers that multiply to be 324 and add to be 36.

The factors of 324 are: 1, 2, 3, 4, 6, 9, 12,18, 27, 36, 54, 81, 108, 162, and 324.

The pair of numbers that works in this case are 18 and 18 since 324 is a perfect square.

Now we split the 36p:



Now factor both halves.



We have a common binomial of 2p+9 that can be factored out it get



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