Question>> the polynomial x^4+5x+a is denoted by p(x). It is given that x^2-x+3 is a factor of p(x).

part (1) Find the value of a in p(x).

Can somebody please reply to this quickly. Thank you(Talking)

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- December 16th 2012, 06:25 AMnotorious96Polynomial
Question>> the polynomial x^4+5x+a is denoted by p(x). It is given that x^2-x+3 is a factor of p(x).

part (1) Find the value of a in p(x).

Can somebody please reply to this quickly. Thank you(Talking) - December 16th 2012, 06:41 AMjakncokeRe: Polynomial
so [tex] we get which means a_2 = 1. So and since . So now you got and since so again so a = -6.

- December 16th 2012, 07:20 AMskeeterRe: PolynomialCode:
`................. x^2 + x - 2`

.................-----------------------------

x^2 - x + 3 | x^4 + 0x^3 + 0x^2 + 5x + a

............ x^4 - x^3 + 3x^2

..............-----------------------------

....................x^3 - 3x^2 + 5x + a

....................x^3 - x^2 + 3x

....................---------------------

........................- 2x^2 + 2x + a

........................- 2x^2 + 2x - 6

........................----------------

......................................a+6

a = -6 - December 16th 2012, 07:25 AMnotorious96Re: Polynomial
thanks jakncoke. Thankyou skeeter, i was also using the same method but my remainder included the variable 'x' so i thought it was wrong. Found my mistake though, thanks once again.