(! will give brainlest! ) what is the product of 1/2x - 1/4 and 5x^2 - 2x + 6 ? write your answer in standard form. can someone me with this? i understand how to multiply polynomials and such but this ones hard for me? explain.

The product of 1/2x - 1/4 and 5x^2 - 2x + 6 is 5/2x^3 – 9/4x^2 + 7/2x – 3/2

(a)(1/2x - 1/4) (5x^2 – 2x + 6)  

5/2x^3 – 5/4x^2 – 4/4x^2 + 2/4x +6/2x-6/4  

(I used 4/4 because it benefits me more when I visually see it)  

5/2x^3 -9/4x^2 + 14/4x – 6/4  

5/2x^3 – 9/4x^2 + 7/2x – 3/2

(b)No, because with the first part of the problem, the negative goes to ½ instead of 1/4x. When you find the product, instead of finding the exact same answer, you get 5/4x^3 – 3x^2 + 5/2x -3. The numbers when switched, change what they do. 1/4x just multiplies without a negative and ½ does with a negative.