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What is the factorization of the trinomial below -x^2 + 2x + 48

User Romseguy
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1 Answer

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For this case we must factor the following expression:


-x ^ 2 + 2x + 48

We take the sign "-" as a common factor of the expression, taking into account that:


- * - = +\\- (x ^ 2-2x-48)

To factor, we must find two numbers that, when multiplied, result in -48 and when added, result in -2. These numbers are -8 and +6.


-8 + 6 = -2\\(-8) * (+ 6) = - 48

Then, we factor the expression within the parenthesis as:


- ((x-8) (x + 6))

Answer:


- (x-8) (x + 6)

User Dhawalk
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