$$(9 { x }^{ 3 } -3x+4)( \frac{ -5 }{ 4 } { x }^{ 4 } )$$
$-\frac{5\left(9x^{3}-3x+4\right)x^{4}}{4}$
$$\left(9x^{3}-3x+4\right)\left(-\frac{5}{4}\right)x^{4}$$
$$\left(-\frac{45}{4}x^{3}+\frac{15}{4}x-5\right)x^{4}$$
$$-\frac{45}{4}x^{7}+\frac{15}{4}x^{5}-5x^{4}$$
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$-\frac{45x^{7}}{4}+\frac{15x^{5}}{4}-5x^{4}$
