Question

Check whether 7 + 3x is a factor of $\sf{ {3x}^{3} + 7x }$ .



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Answer 1

Answer:

For 7 + 3x to be a factor, it is very important for the remainder to be equal to 0. Let us proceed step by step. The root of 7 + 3x = 0 is -7 / 3. Since the remainder of p(-7/3) ≠ 0, 7 + 3x is not a factor of 3x3 + 7x.

Step-by-step explanation:

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Answer 2

Answer:

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

Step-by-step explanation:

It will be the only if it lefts 0 as reminder.

$let \: p(x) = {3x}^{3} + 7x \\ \\ 7 + 3x = 0 \\ \\ = \: 3x = - 7 \ \\ \\ \therefore \: x = - \frac{7}{3}$

$\therefore \: remainder \: = \\ \\ 3 {( - \frac{7}{3}) }^{3} + 7 {( - \frac{7}{3}) } \\ \\ = - \frac{343}{9} - \frac{49}{3} \\ \\ = - \frac{490}{9} \not = 0$

so it is not a factor of 3x^3+7x

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