Remainder theorem question(screenshot included)

c = 5

using the Remainder Theorem.

If a polynomial f(x) is divided by (x - a) then remainder is f(a)

for (x - 2 ) → a = 2

evaluating the polynomial f(2) gives

f(2) = 2(2)³ -c(2)² +4(2) - 7 = - 3 = 16 -4c + 8 - 7 = -3 → ( solve for c )

17 - 4c = - 3 → - 4c = - 3 - 17 = - 20 ⇒ c = 5

f(x) = 2x³ -5x² + 4x - 7

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

2160ft3

step-by-step explanation: