Find whether 7 +3x is a factor of 3x^3+7x
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Answer:
No
Step-by-step explanation:
If 7+3x is a factor of 3x^3+7x,where polynomial(x)=3x^3+7x
Then:7+3x=0
Therefore x= -7/3
Now putting their values;
p(x)=3x^3+7x
p(-7/3)=3(-7/3)^3+7(-7/3)
=3(-343/9)+(-49/3)
= -343/3-49/3
= -490/3
On dividing the polynomial 3x^3+7x the remainder is not zero.
So we conclude that 7+3x is not a factor of 3x^3+7x.
Hope you find it helpful.
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