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[08.06 MC]
Factor completely 4x3 + 8x2 − 25x − 50. (2 points)



(4x2 − 25)(x + 2)

(2x − 2)(2x + 2)(x + 5)

(2x − 5)(2x + 5)(x + 2)

(2x − 5)(2x + 5)(x − 2)

Respuesta :

4x^3 + 8x^2 - 25x - 50
Steps
(4x^3 + 8x^2) + (-25x - 30)
Factor out 4x^2 from 4x^3 + 8x^2: 4x^2(x + 2)
Factor out -25 from -25x - 50: -25(x + 2)
= 4x^2(x + 2) - 25(x + 2)
Then, factor out common term (x + 2)
= (x + 2)(4x^2 - 25)
Factor 4x^2 - 25: (2x + 5)(2x - 5)
= (x + 2)(2x + 5)(2x - 5)
Which the answer to this is the 3rd option.

Answer: THE 3RDDDDDDDDDDDDDDDDDDDDD

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