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Check whether 7 + 3x is a factor of 3x^3 + 7x.

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Check whether 7 + 3x is a factor of 3x3 + 7x.

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7 + 3x = 0

⇒ 3x = −7

⇒ x = -7/3

∴ Remainder: 3(-7/3)3 + 7(-7/3)

= -(343/9) + (-49/3)

= (-343 - (49)3)/9

= (-343 - 147)/9

= -490/9 ≠ 0

∴ 7 + 3x is not a factor of 3x3 + 7x

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