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Remainder Theorem Help

deco2009

using the remainder theorem,show that x-1 is a factor of

f(x) = 2x and little 3 on top - x^ + x - 2

by long division or otherwise find any other factors

how do u work this out

how do u find other factors help

Reply 1

ste0731

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

I presume you mean that.

For first bit put f(1) in. 2(1)-(1)+1-2=0 therefore x-1 is a factor. And then as it says use long division that you've been taught with (x-1)/(2x^3-x^2+x-2) and you'll get a quadratic and then factorise that for the other two factors

Reply 2

tehsponge

Plug in (1) as the x-value (its always the opposite sign). Next think of numbers that multiply to make -2. The other factor has to be x-2, so factorised it is (x-1) (x-1) (x-2)