MATH SOLVE

9 months ago

Q:
# (Please help!!!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 please help me with this? I understand how to multiply polynomials and such but this ones hard for me? Please explain.

Accepted Solution

A:

The product of 1/2x - 1/4 and 5x^2 - 2x + 6 is 5/2x^3 β 9/4x^2 + 7/2x β 3/2
(a) (1/2x - 1/4) (5x^2 β 2x + 6) Β 5/2x^3 β 5/4x^2 β 4/4x^2 + 2/4x +6/2x-6/4 Β (I used 4/4 because it benefits me more when I visually see it) Β 5/2x^3 -9/4x^2 + 14/4x β 6/4 Β 5/2x^3 β 9/4x^2 + 7/2x β 3/2
(b) No, because with the first part of the problem, the negative goes to Β½ instead of 1/4x. When you find the product, instead of finding the exact same answer, you get 5/4x^3 β 3x^2 + 5/2x -3. The numbers when switched, change what they do. 1/4x just multiplies without a negative and Β½ does with a negative.