Question

Using factor theorem,prove2xsquare-3x+1 is a factor of (2xraise to 4) -(3 x cube)-(3x square)+6x-2

Answer 1

I think it will be done like this ............. g(x)= 2x^2-3x+1.................... Factors can be either -1 or 1............... Let's take 1........................ Put x= 1 in g(x)= 2(1)^2-3(1)+1= 0............. 2-3+1=0-1+1=0............. So x= 1 is the solution ...... Now put x= 1 in the p(x).............. 2(1)^4-3(1)^3-3(1)^2+6(1)-2=0.............. 2-3-3+6-2=0..............8-8=0........0=0.............. So, g(x) = 2x^2-3x+1 is the factor of the given p(x).