Question

check the whether 7+3x is a factor of 3x^3+7x.

Answer 1

7+3x is not a factor of 3x^3+7x.

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Answer 2

✯✯ QUESTION ✯✯

Check the whether 7+3x is a factor of ${3x}^{3}+7x$

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✰✰ ANSWER ✰✰

$\longmapsto\tt{7+3x=0}$

$\longmapsto\tt{3x=-7}$

$\longmapsto\tt{x=\dfrac{-7}{3}}$

☛Now ,

$\longmapsto\tt{{3x}^{3}+7x}$

$\longmapsto\tt{3\bigg(\dfrac{-7}{3}{\bigg)}^{3}+7\bigg(\dfrac{-7}{3}\bigg)}$

$\longmapsto\tt{\dfrac{-343}{9}-\dfrac{49}{3}}$

$\longmapsto\tt{\dfrac{-343-147}{9}}$

$\longmapsto\tt{\dfrac{-490}{9}}$

So, 7+3x is not a factor of 3x³+7x ..