Question

0/1
X If the polynomial f(x)=
14x3-5x2 +9x-1 is divided by
g(x)=2x-1 then quotient and
remainder respectively are​

Answer 1

Answer:

$14 {x}^{3} - 5 {x}^{2} + 9x - 1 = \\ 14 {x}^{3} - 7 {x}^{2} + 2 {x}^{2} - x + 10x - 5 + 4 = \\ 7 {x}^{2} (2x - 1) + x(2x - 1) + 5(2x - 1) + 4 = \\ (2x - 1)(7 {x}^{2} + x + 5) + 4.......(i) \\ i.e \: \: \: \: p(x) = diviser \times quotient + remender \\ comparing \: with \: (i)... \\ diviser = 2x - 1 \\ quotient = 7 {x}^{2} + x + 5 \\ remender = 4 \\ ans.$