Determine the degree of the the polynomial.
$(3 x - 2) (2 x^{3} + 3 x^{2})$

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Solution

$(3 x - 2) (2 x^{3} + 3 x^{2})$
$= 6 x^{4} + 9 x^{3} - 4 x^{3} - 6 x^{2}$
$= 6 x^{4} + 5 x^{3} - 6 x^{2}$
From the above it is clear that the given polynomial is of degree $4$ .

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