Question

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

Answer 1

x=-7/3

f(-7/3)=3×(-7/3)^3+7×(-7/3
f(-7/3)=3×(-343/27)-49/3=-343/9-49/3=-343-147/9
f(-7 /3)=-490/9

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

Answer 2

Hello friends!!

Here is your answer :

P(x) = 3x³ + 7x

G(x) = 7 + 3x

Zero of g(x) = - 7/3


$\\ p( \frac{ - 7}{3} ) = 3 {( \frac{ - 7}{3} )}^{3} +7 (\frac{ - 7}{3} )$


$\\ = 3 \times \frac{ - 343}{27} + (\frac{ - 49}{3} )$

$\\ = \frac{ - 343}{9} - \frac{49}{3}$



$\\ = \frac{ - 343 - 147}{9}$


$\\ = \frac{ - 490}{9}$



Remainder ≠ 0.

Therefore, g(x) is not a factor of p(x).


Hope it helps you.. ^_^

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