Question

what are the zeros of f(x)=x^4-7x^3+15x^2-9x?

Answer 1

To fnd zeros,
f(x)=0
x^4-7x^3+15x^2-9x=0

Answer 2

Now, SOLVE FOR x
can u?

Answer 3

I don't remember can you show me how please

Answer 4

Try to factor x^4-7x^3+15x^2-9x

Answer 5

oh okay I remember what to do now!

Answer 6

Can you show me how to factor that like I remember what to do once you find X but I'm not so great at factoring 4terms and 3terms..

Answer 7

x^4-7x^3+15x^2-9x
=x(x^3 -7x^2+15x-9)
=x{ x^3 -x^2 -6x^2 +6x +9x-9}
=x{ x^2(x-1) -6x(x-1) +9(x-1)}
=x{(x-1)(x^2-6x+9)}
=x(x-1){ x^2 -2*x*3+3^2}
=x(x-1)(x-3)(x-3)

Answer 8

Now, can u do the rest?

Answer 9

Yes! Thank You so much! The X on the outside is equal to? 0

Answer 10

yes

Answer 11

Yay okay thank you!

Answer 12

welcome