check whether 7+3x is a factor of 3x cube + 7x
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given p (x ) = 3x^3 + 7x ---(1)
g(x) = 7 + 3x =0
3x = - 7
x = - 7 / 3
put value of x in eq. (1) , we get
p ( - 7/ 3 ) = 3( -7 / 3)^3 + 7 ( - 7 / 3 )
p ( - 7/ 3 ) = - 1029 / 27 - 49 / 3
= - 38.11 - 16.33
= -54.44
p ( - 7 / 3 ) is not equal to 0.
hence ,
7 + 3x is not a factor of 3x^3 + 7x
g(x) = 7 + 3x =0
3x = - 7
x = - 7 / 3
put value of x in eq. (1) , we get
p ( - 7/ 3 ) = 3( -7 / 3)^3 + 7 ( - 7 / 3 )
p ( - 7/ 3 ) = - 1029 / 27 - 49 / 3
= - 38.11 - 16.33
= -54.44
p ( - 7 / 3 ) is not equal to 0.
hence ,
7 + 3x is not a factor of 3x^3 + 7x
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