Answer :

By Factor Theorem, we know that,


If p(x) is a polynomial and a is any real number, then g(x) = (x – a) is a factor of p(x), if p(a) = 0


For checking (2x + 3) to be a factor, we will find f(–3/2)





As, f(–3/2) is equal to zero, therefore, g(x) = (3x – 2) is a factor of f(x)


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