Question

Divide p of x 14 x cube minus 5 x square + 9 x minus 1 by 2 x minus 1 and verify and find the quotient and remainder also verify the division algorithm

Answer 1

Answer:

quotient is 7x²+X+4 and remainder is 3 please mark my answer as brainliest

Answer 2

given p(x) =  14x³-5x²+9x-1

g(x) = 2x-1

on dividing we get

The quotient = 7x²+x+5

remainder =4

verification :

dividend = divisor × quotient + remainder

14x³-5x²+9x-1 = (2x-1) ×( 7x²+x+5) +4

14x³-5x²+9x-1 = 14x³+2x²+10x-7x²-x-5 +4

14x³-5x²+9x-1 =14x³-5x²+9x-1

LHS = RHS

hence verified

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