Mr. Matthews built a fence to enclose his yard. He put up 3/4 of the fence on Monday. On Tuesday, he put up 1/6 of the fence, and on Wednesday, he put up the rest of the fence. What portion of the fence did he put up on Wednesday?

1/12 of the fence was put up on Wednesday

Step-by-step explanation:

To do this, we should add up the fractions of the fence on Monday and Tuesday, and subtract them from 1 (100% or the whole fence) to find the remaining portion.

+                  First, find the greatest common denominator (12).

        In order to get from 4 to 12, you must multiply both sides by 3

        In order to get from 6 to 12, you must multiply both sides by 2

    Add the two fractions together by adding the numerators.

      Finally, subtract 11/12 from 1 to get the remaining portion on                    Wednesday

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form