Prove that if a polynomial function p(x) = ª₂ + ax + a₂x² is zero for x=-1, x=0, and x-1, then a₂-a₁-a₂ -0.Getting Started: Write a system of linear equations and solve the system for a, a, and a₂.(1) Substitute x-1, 0, and 1 into p(x).(11) Set the result equal to 0.p(-1) -<-0p(0) -p(1) =-D-0(III) Solve the resulting system of linear equations in the variables a, a, and a₂.(2₂.2₂.2₂)-

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Prove that if a polynomial function p(x)= a + ax + ₂x² is zero for x=-1, x-0, and x-1, then a - a₂ -₂ -0. Getting Started: Write a system of linear equations and solve the system for a, a, and a (1) Substitute x-1, 0, and 1 into p(x). (1) Set the result equal to 0. p(-1) - p(0) - P(1) - -0 -0 (1) Solve the resulting system of linear equations in the variables a, a, and a.

Prove that if a polynomial function p(x)= a + ax + ₂x² is zero for x=-1, x-0, and x-1, then a - a₂ -₂ -0. Getting Started: Write a system of linear equations and solve the system for a, a, and a (1) Substitute x-1, 0, and 1 into p(x). (1) Set the result equal to 0. p(-1) - p(0) - P(1) - -0 -0 (1) Solve the resulting system of linear equations in the variables a, a, and a.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.7: Solving Systems Of Linear And Quadratic Equations

Problem 3GP

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