divide 30x4 + 11x3 - 82x2 - 12x + 48 by (3x2 + 2x - 4) and verify the result by division algorithm
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divide 30x4 + 11x3 - 82x2 - 12x + 48 by (3x2 + 2x - 4) and verify the result by division algorithm
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Given g(x) = 3x^2 + 2x - 4.
Now,
We need to divide f(x) by g(x)
10x^2 - 3x - 12
-----------------------------------------------------
3x^2 + 2x - 4) 30x^4 + 11x^3 - 82x^2 - 12x + 48
30x^4 + 20x^3 - 40x^2
-------------------------------------------------------
- 9x^3 - 42x^2 - 12x + 48
-9x^3 - 6x^2 + 12x
--------------------------------------------------------
-36x^2 - 24x + 48
- 36x^2 - 24x + 48
------------------------------------------------------------
0
Verification:
= > Dividend = Divisor * Quotient + Remainder
= (3x^2 + 2x - 4) * (10x^2 - 3x - 12) + 0
= 30x^4 - 9x^3 - 36x^2 + 20x^3 - 6x^2 - 24x - 40x^2 - 12x + 48
= 30x^4 + 11x^3 - 82x^2 - 12x + 48
Hope this helps!
Step-by-step explanation:
hope it helps!!
thanks..
pls mark brainliest...