Question

Prove if 7x+3x is a factor of 3x3+7x

Solution

do you mean 7+3x if so solution is 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 = -590/9 This value is not equal to 0   so 7 + 3x is not a factor of expression 3x3 + 7x

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