Question

How do I write the complete factored form of f(x) given its zeros?

Answer 1

The problem is:
f(x)=2(x^2)-15x+28, zeros are (7/2) and 4

Answer 2

Would it be (x-(7/2))(x-4)?

Answer 3

\(x=\frac{7}{2} \implies2x=7\implies 2x-7=0
\) so you have
\((2x-7)(x-4)\)

Answer 4

similarly \(x=4 \implies x-4 = 0\)

Answer 5

Oh, that makes a lot of sense. If I make another question in a bit do you think you may be able to pop in to help?

Answer 6

sure

Answer 7

Thanks a bunch! See you in a bit