Question

A polynomial ax3 - 3x2 + 3x + 1 when divided by X-2 leaves the remainder 7. Find the vale of a.

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Answer 1

Answer:

a = 2/3

Step-by-step explanation:

ax³ - 3x² + 3x + 1 divided by x - 2.

x - 2 = 0

x = 2

By substituting this value in the equation we will get the remainder as 7.

7 = a(2)³ - 3(2)² + 3(2) + 1

  = 8a - 12 + 6 + 1

7 = 8a - 5

12 = 8a

a = 8/12

∴ a = 2/3

Hope this helps! :)