Question

What is the product of 1/2x-1/4 and 5x^2-2x+6

Answer 1

Answer:

$\frac{5}{2} x^{3} -\frac{9}{4}x^{2} +\frac{7}{2} x-\frac{3}{2}$

Step-by-step explanation:

$1. (\frac{1}{2} x-\frac{1}{4} )(5x^{2} -2x+6)\\\\2. \frac{1}{4}(2x-1)(5x^{2} -2x+6)\\\\3. \frac{1}{4} (10x^{3} -4x^{2} +12x-5x^{2} +2x-6)\\\\4. \frac{1}{4} (10x^{3} -9x^{2} +14x-6)\\\\5. \frac{5}{2} x^{3} -\frac{9}{4} x^{2} +\frac{7}{2} x-\frac{3}{2}$