Which of the following is a factor of 2x^4 22x^3 60x^2? 2x^3 x^4 x 4 x 5

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Mathematics

Mariam

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Which of the following is a factor of 2x^4 22x^3 60x^2? 2x^3 x^4 x 4 x 5

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Holt · Answer 1

The factor theorem says that for a function f (x), if f (a) = 0, then (x - a) is a factor of f (x).

For f (x) = 2x^4 + 22x^3 + 60x^2

f (-5) = 2 (-5) ^4 + 22 (-5) ^3 + 60 (-5) ^2 = 2 (625) + 22 (-125) + 60 (25) = 1250 - 2750 + 1500 = 0

Therefore, x - (-5) = x + 5 is a factor of f (x).