How do you express x^2-5x-24x2−5x−24 as the product of two binomials?

1 Answer
Meave60
Jun 28, 2016

x^2-5x-24=color(blue)((x-8)(x+3))x2−5x−24=(x−8)(x+3)

Explanation:

The trinomial

x^2-5x-24x2−5x−24

In order to determine the two binomials that are the factors of the trinomial by doing the following:

Determine two numbers that when added equal -5−5 and when multiplied equal -24−24. (You may need to make a list of combinations of numbers to find one that works with your problem.)

The numbers -8−8 and 33 meet the criteria for this trinomial.

Rewrite the trinomial as two binomials.

(x-8)(x+3)(x−8)(x+3)

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