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

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

Text Solution

Verified by Experts

if it is a factor then it must be divisible by it
hence, dividing
`= (3x^3 +7x)/(3x+7)`
`= (x^2(3x+7))/(3x+7)`
`= (x^2cancel(3x+7))/cancel(3x+7)`
`=x^2`
as `x^2` is left as a factor and no remainder is left
so, yes it is a factor
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