Check whether 7+3x is a factor of 3x³+7x
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Solution:
Apply remainder theorem
=>7 + 3x =0
=> 3x = - 7
=> x = - 7/3
Replace x by - 7/3 we get
=>3x3 + 7x
=>3(-7/3)3 + 7(-7/3)
=>3(-343/27) – 49/3
=> (-343/9) – 49/3
This value is not equal to 0
So that 7 + 3x is not a factor of expression 3x3+7x
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