Question

Find all zeros of the polynomial function:
P(x)=2x^4-10x^3+23x^2-24x+9

Answer 1

So far I got the list of possible zeros: +/- 1, 1/2,3,3/2,9,9/2

I found 1 works so I did (x-1)(2x^3-8x^2+15x-9)

Answer 2

then [2x^2(x-4)+3(5x-3)]

Answer 3

so do u want the rational or irrational roots?

Answer 4

i found that only 1 works for the rational roots

Answer 5

both i'm assuming

Answer 6

for all the possibilities, only 1 works

Answer 7

i found it, they are on my bag........

Answer 8

some are on my pocket

Answer 9

in the back of the textbook it states (3/2)+(3/2)i and (3/2)-(3/2)i work, but I don't know to get that

Answer 10

flutter!

Answer 11

this factors to
(x-1)^2(2x^2 - 6x +9)

so has a double root of x=1
and two complex roots

Answer 12

complex roots are

6 +- sqrt(36 - 4*2*9 / 4

3/2 + 3i/2 , 3/2 - 3i/2