16

 PAGE: 510 SET: Exercises PROBLEM: 16

The polynomial is .

The GCF of is 1.

Since the first term, is not a perfect square, this is not a perfect square terminal.

The general quadratic expression form is .

In the above trinomial, .Since is negative, so the factors m and p have opposite signs.So either m or p is negative, but not both.

Since is positive, the factor with the greater absolute value is also positive.

You need to find one factor of each pair is negative with a sum of 39 and a product of  .

Make a list of the factors of and look for the of factors with the sum of 39.

The correct factors are .

Apply the pattern: .

.

Group terms with common factors.

Factors the GCF from each group.

Notice that  is common in both groups, so it becomes the GCF.

Apply distributive property: .

The factors form of polynomial is .

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