What is x3+3x2−16x−48 divided by x−1?

x² + 4x - 12, remainder - 60

Step-by-step explanation:

Using synthetic division to divide

Since dividing by x - 1, evaluate for x = 1

1 | 1  3  - 16  - 48

   ↓  1     4   - 12

  ---------------------------

   1   4  - 12  - 60 ← degree 2 polynomial

quotient = x² + 4x - 12, remainder = - 60

Hence

= x² + 4x - 12 -

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation:

a - base

b - exponent

so,