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Which product of prime polynomials is equivalent to 30x3 – 5x2 – 60x?
5(2x2 – 3)(3x + 4)
x(10x + 3)(3x – 4)
5x(2x – 3)(3x + 4)
5x(2x + 3)(3x – 4)

Respuesta :

gmany
[tex]30x^3-5x^2-60x=5x\cdot6x^2-5x\cdot x-5x\cdot12\\\\=5x(6x^2-x-12)= 5x(6x^2+8x-9x-12)\\\\=5x[2x(3x+4)-3(3x+4)]=5x(3x+4)(2x-3)\\\\=\boxed{5x(2x-3)(3x+4)}[/tex]
DarkNola2000

The answer would be choice C. 5x(2x – 3)(3x + 4) .


Hope this clears up any confusion.

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