find quotient and remainder when 6x^2-x+9 is divided by 3x+1. Also verify division algorithm?
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find quotient and remainder when 6x^2-x+9 is divided by 3x+1. Also verify division algorithm?
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Step-by-step explanation:
3x+1)6x^2 -x +9( 2x - 1
6x^2 +2x
-------------------------
-3x +9 (subtracting)
-3x - 1
-------------------
10 (subtracting)
Q = 2x -1
R = 10
(2x - 1)(3x + 1) + 10
= 6x^2 + 2x - 3x - 1 + 10
= 6x^2 - x +9.