Question

Find the real zeros of the polynomial function

f
(
x
)
=
x
8
+
6
x
7
+
7
x
6
.

Answer 1

Explanation:

f(x) = x^8 + 6x^7 + 7x^6
= x^6 ( x^2 + 6x + 7)
= x^6 (x =
`(-6 +- √(36 - 28) )/(2)` )

= x^6 (x = -3 +-
`√(2)` ) = 0

= x = 0 or x = -3 +-
`√(2)`