Guided Proof Prove that if a polynomial functionp(x) = a0 + a1x + a2x2 is zero for x =
Chapter 1, Problem 39(choose chapter or problem)
Guided Proof Prove that if a polynomial function \(p(x)=a_{0}+a_{1} x+a_{2} x^{2}\) is zero for x = -1, x = 0, and x =1, then \(a_{0}=a_{1}=a_{2}=0\).
Getting Started: Write a system of linear equations and solve the system for \(a_{0}, a_{1}, \text { and } a_{2}\).
(i) Substitute x = - 1, 0, and 1 into p(x).
(ii) Set each result equal to 0.
(iiii) Solve the resulting system of linear equations in the variables \(a_{0}, a_{1}, \text { and } a_{2}\).
Text Transcription:
p(x)=a_0+a_1 x+a_2 x^2
a_0=a_1=a_2=0
a_0, a_1, and a_2
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer