Q2 of 82 Page 130

By using Factor Theorem, let us write whether g(x) is a factor of the following polynomials f(x).

f(x) = 3x3 + x2 – 20x + 12 and g(x) = 3x – 2

Formula used.


If f(x) is a polynomial with degree n


Then (x – a) is a factor of f(x) if f(a) = 0


1st we find out zero of polynomial g(x)


3x – 2 = 0


x =


if f(x) is 3x3 + x2 – 20x + 12


then putting x = ;


f(3) = 3()3 + ()2 – 20() + 12


=


=


= = 0


Conclusion.


∴ g(x) is a factor of f(x)


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