Question

Given 5x^3 - 17x^2 + 12x -6 = (x^2-3x+1) (5x +A) + Bx + C for all values of x,
a) find the values of A B C
ans: A= -2 B = 1 C = -4
b) HENCE, find the remainder when 5x^3 -17 x ^2 + 12x -6 is divided by (x^2-3x + 1 )

Answer 1

k wait ..

Answer 2

So may i know the exact question please

Answer 3

@Sgstudent please give us the exact question

Answer 4

This is the exact question ? lol

Answer 5

I think u have typed wht u did instead of the exact question ..

Answer 6

okay for all values of x is after the +C

Answer 7

um.. u already got c=-4 .: the remainder is x-4. recognise that the original equation is Dividend=divisor*quotient + remainder where remainder is Bx+C
for all values of x just means that the equality is true for all values..

Answer 8

but i need to show working my dear

Answer 9

compare co efficients form eqn's solve them

Answer 10

i dont get the hence part

Answer 11

what.. just divide the dividend by the divisor.. you will get 5x-2 + x-4/x^2-3x+1 where 5x-2 = 5x+A and x-4=Bx+C..

Answer 12

i dont think i learn that yet any other way?

Answer 13

read http://en.wikipedia.org/wiki/Polynomial_long_division DIVISION TRANSFORMATION PART .. youre looking for the R(x)

Answer 14

what do you get ?

Answer 15

.. as stated in the question R(x) = Bx + C so the remainder is that. what year level are u in?

Answer 16

@Sgstudent
simplify the right hand side of equation
(x^2-3x+1) (5x +A) + Bx + C
get the standard form of it
then compare the corresponding coefficients of 2 polynomial