Answer:
[tex]\frac{5}{4}x^2-\frac{1}{2} x-\frac{3}{2}[/tex]
Step-by-step explanation:
[tex](\frac{1}{2}x-\frac{1}{4} )(5x^2-2x-6)\\\\=(\frac{1}{2} )(5x^2-2x-6)+(\frac{-1}{4} )(5x^2-2x-6)\\\\=\frac{5}{2}x^2-x-3-\frac{5}{4} x^2+\frac{1}{2}x+\frac{3}{2} \\\\=(\frac{5}{2}-\frac{5}{4} )x^2+(-1+\frac{1}{2} )x+(-3+\frac{3}{2} )\\\\=\frac{5}{4}x^2-\frac{1}{2}x-\frac{3}{2}[/tex]
