What is the remainder when (2x3 + 4x2 − 32x − 40) ÷ (x − 4)?

Remainder = 24

Step-by-step explanation:

Given:

Here we are given a division of rational number. Using synthetic division to find remainder.

Step 1: Multiply 4 with 2 and write below 4 and add them to get 12

Step 2: Multiply 12 with 4 and write below -32 and add them to get 16

Step 3: Multiply 16 with 4 and write below -40 and add them to get 24

24 is remainder.

4  |  2     4    -32   -40 |

             8     48    64              

      2    12    16     24

At last we get number is 24.

Please see the attachment for synthetic division.

Hence, The remainder of division is 24

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew

50

step-by-step explanation: