Hey you, yeahhh you. Wanna help me get my knowledge up?

As remainder theorem of synthetic division of polynomials states, (please check it by yourself)

(2)| 2  -4    -9      1

   |       4     0    -18

   | 2    0    -9   (-17)

Brief explanation:

On the 1st row, the number 2, right after |, is dropped directly into 3rd row.

Then the 1st number of 2nd row is calculated by: (2) x 2 = 4, then -4 + 4 = 0, 0 is dropped into 3rd row, right after 2, and so on.

The (-17) is solution.

Check:

f(x) = 2*x^3 -  4*x^2 - 9*x + 1

f(2) = 2*2^3 - 4*2^2 - 9*2 + 1 = 16 - 16 - 18 +1 = -17

=> Same as the calculated value.

=> Solution: -17

Hope this helps!

:)

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step-by-step explanation:

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