Factor the following quadratic 4x^3-x^2-4x+1
this is cubic not quadratic
well its on my quadratics quiz so...
My homework is to factor things out too lol :D
I just need help :(
Me too :D
im not sure how to do this correctly
4x^3-x^2-4x+1 put x=1, get 4(1)^3-(1)^2-4(1)+1 = 4 - 1 - 4 + 1 = 0 it means (x-1) is one of the factor of 4x^3-x^2-4x+1. then you can find the other factors by using long division or by using Horner
k thanks
(x^2-1)(4x-1), but you can factor further to (4x-1)(x+1)(x-1)
yeah, that's full factor for it. but it would be nice if you can show your steps (not only answer) @Nanalew
im not so sure how you got that but thanks
Okay then, trying to factor by pulling out so split the expression into two groups: Group 1: -x2+1 Group 2: 4x3-4x Pull out from each group separately : Group 1: (-x2+1) • (1) = (x2-1) • (-1) Group 2: (x2-1) • (4x) Add up: (x^2-1)(4x-1) Then factor (x^2-1) Check : 1 is the square of 1 Check : x2 is the square of x1 Factorization is : (x + 1) • (x - 1) Then (4x - 1) • (x + 1) • (x - 1)
Heres the work @RadEn, sorry should have posted before answer :)
ok, nope. better late than never :)
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