divide the polynomial...please make it fast
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Given f(x) = 3x^3 + 2x^2 - 5x + 6.
Given g(x) = x - 2.
Long division method:
x - 2) 3x^3 + 2x^2 - 5x + 6(3x^2 + 8x + 11
3x^3 - 6x^2
------------------------------
8x^2 - 5x + 6
8x^2 - 16x
------------------------------
11x + 6
11x - 22
---------------------------------
28
Here, Quotient q(x) = 3x^2 + 8x + 11 and remainder r(x) = 28.
Verification:
= > f(x) = g(x) * q(x) + r(x)
= (x - 2)(3x^2 + 8x + 11) + 28
= (3x^3 + 8x^2 + 11x - 6x^2 - 16x - 22) + 28
= (3x^3 + 2x^2 - 5x - 22 + 28)
= 3x^3 + 2x^2 - 5x +6.
Hope this helps!
siddhartharao77:
:-)
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