PAGE: 489 SET: Exercises PROBLEM: 1

The expression is .

The general factor trinomial form is .

In the above trinomial, .

Since c is positive and b is positive, you need to find two positive factors with a sum of 14 and product of 24.

Make an organized list of the factors of 24, and look for the pair of factors with a sum of 14.

Apply the pattern form: when .

because .

Check:To check the solution by multiplying the two factors and this result should be equal to the original expression.

Rewrite as the sum of two products.

Apply distributive property: .

Combine like terms.

The factor form of expression is .

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