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What is the completely factored form of this polynomial?
5x4 + 20x3 - 105x2
OA. 5x2(x+3)(x - 7)
B.
5x2(x + 3)(x - 7)
OC. 5x2(x - 3)(x + 7)
OD. 5x3(x - 3)(x + 7)

Respuesta :

sqdancefan

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Answer:

  C. 5x^2(x - 3)(x + 7)

Step-by-step explanation:

When 5x^2 is factored out, you have ...

  5x^2(x^2 +4x -21)

To factor the remaining quadratic, you need two numbers with a sum of 4 and a product of -21. Those would be 7, -3. This tells you the fully factored form is ...

  5x^2(x -3)(x +7) . . . . matches choice C

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