Question

fifth-degree polynomial factored over the integers is p(x) = 2x(x-7)(3x+4)(x^2 - 8x + 25)

Answer 1

a) how many of the zeros of p(x) are real?
b) How many of the zeros of p(x) are not real?

Answer 2

set each factor equal to zero and solve

Answer 3

\[2x=0\\
x=0\] that one is real

Answer 4

\[x-7=0\\
x=7\] that one is real too!

Answer 5

two complex ones come from solving
\[x^2 - 8x + 25=0\]

Answer 6

which are?

Answer 7

@satellite73 what are the ones which are not real??