please answer the following
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I know.. math..but sorry.then please mark as brainlist
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Here's your answer
Step-by-step explanation:
Given :
◾Divide 6x³-11x²+7x+5 by 2x-3 and verify division algorithm
Solution :
ᏴᎽ ᎠᏆᏙᏆᎠᏆΝᏀ, ᏔᎬ ᏀᎬͲ :-
◾3x²- x +2
ᏙᎬᎡᏆҒᏆᏟᎪͲᏆϴΝ :-
Divident = Divisor x Quotient + Remainder
p(x) = g(x) x q(x) + r(x)
LHS = 6x³- 11x² + 7x + 5
RHS = (2x - 3)(3x² - x + 2) + 11
= 6x³ - 2x² + 4x - 9x² + 3x - 6 + 11
= 6x³ - 11x² + 7x + 5
{\therefore}∴ LHS = RHS
- Hence verified.
Hope it helps
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