Fusion Fusion
  • 23-01-2025
  • Mathematics
College

Find the real zeros of the polynomial function:

\[ f(x) = x^8 + 6x^7 + 7x^6 \]

Answer :

srijansarvshresth135 srijansarvshresth135
  • 31-03-2025

Answer:

Step-by-step explanation:

f(x) = x^8 + 6x^7 + 7x^6
= x^6 ( x^2 + 6x + 7)
= x^6 (x =
[tex]\frac{-6 +- \sqrt{36 - 28} }{2}[/tex] )

= x^6 (x = -3 +- [tex]\sqrt{2}[/tex] ) = 0

= x = 0 or x = -3 +- [tex]\sqrt{2}[/tex]

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