Samuel bough 32 ibs. of mulch this week. this amount is 4 ib. more than twice the amount of mulch bought last week. answer the following questions to find the number of pounds of mulch samuel purchased last week.
what is the unknown information?
let p represent the unknown information wire and equation to model the problem.
which number, 12, 13 or 14, will solve the equation.
how many pounds of mulch did samuel buy last week?

 14

Step-by-step explanation:

The unknown information is the "amount of mulch bought last week"

32  is  4   more than   twice   amount last week

      ↓              ↓              ↓                 ↓

32  =   4          +             2 ×               p

32 = 2p + 4

-4           -4  

28 = 2p

÷2    ÷2  

14 =  p

The unknown quantity (p) is 14.

- 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