Question

Q(x)=x^5-3x^4+3x^3+x^2-4x+2

Find all of the zeros of Q, real and complex and state the multiplicities

Answer 1

1 is a root!

Answer 2

-1 too!

Answer 3

so (x+1)(x-1) can be pulled out

Answer 4

but what is a multiplictias?

Answer 5

sec I have to go now for a bit, will be back and try to solve it
for the municipalities you need to factor it!

Answer 6

i will be on it in a sec

Answer 7

(x^2-1)(x^3-3x^2+4x-2)

Answer 8

x^3-3x^2+4x-2
1 is a root again so
x^3-3x^2+4x-2=(x-1)(x^2-2x+2)

Answer 9

x^2-2x+2 has roots at 1+i and 1-i

Answer 10

so roots are 1,-1,1+i,1-i all with 1 multi apart from x=1 that has 2 multi

Answer 11

You have benn a great help, thanks!