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what should be subtracted from 6x4 + 7x3 + 26x2- 25x +25 so that it is divisible by 3x2 -x+ 4
Answers
heya Mate.. here's ur answer...
first divide 6x4 +7x3+26x2-25x+25 by 3x2 -x + 4 ...i. e..
3x2-x+4)6x4+7x3+26x2-25x +25(
(now carry on urself till the power of remainder is smaller than the power of divisior)
the remainder will be the required number which when subtracted from 6x4+7x3+26x2-25x+25 so that it is divisible by 3x2-x+4..
hope this helps you...
thanks..
Step-by-step explanation:
f(x) = 6x⁴ + 7x³ + 26x² - 25x + 25
g(x) = 3x² - x + 4
Long Division Method:
3x² - x + 4) 6x⁴ + 7x³ + 26x² - 25x + 25 (2x² + 3x + 7
6x⁴ - 2x³ + 8x²
----------------------------------------
9x³ + 18x² - 25x + 25
9x³ - 3x² + 12x
--------------------------------------------
21x² - 37x + 25
21x² - 7x + 28
----------------------------------------------
-30x - 3
∴ Remainder = -30x - 3.
∴ -30x - 3 must be subtracted from f(x) so that it is divisible by g(x).
Hope it helps!