This question is on my homework and I just cant figure it out for the life of me, any help is much appreciated :) "Given that -1 is a zero of the polynomial f(z)=5z³+5z²-z-1"
Mathematics · College · Tue Nov 03 2020
llm
Answered on
Given that -1 is a zero of the polynomial f(z)=5z³+5z²-z-1"
Means: f(-1)= 0
f(z) = 5z³ + 5z² -z -1
f(-1) = 5(-1)³ + 5(-1)² -(-1) -1
f(-1) = 5(-1) + 5(1) +1 -1
f(-1) = -5 +5 +1 -1
f(-1) = 0
It's proved.