Question

Check whether 7 + 3x is a factor of 3x^3 + 7x .
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Answer 1

Step-by-step explanation:

Apply remainder theorem

$3x + 7 = 0 \\ 3x = - 7 \: or \: - \frac{7}{3} \\ \\replce \: x = \frac{ - 7}{3} in \: equation \\ \\ we \: get \: {3x}^{3} + 7x = 3( \frac{ - 7}{3} )^{3} + 7( \frac{ - 7}{3} ) \\ = 3( \frac{ - 343}{27} ) - \frac{49}{3} \\ = \frac{343}{9} - \frac{49}{3}$

this value doesn't eqaulent to zero therefore this isn't a factor

hope u can understand...peace✌