?Find values of a, b, and c such that the graph of the polynomial $p(x)=a x 2+b x+c$

Chapter 1, Problem 15

(choose chapter or problem)

Find values of a, b, and c such that the graph of the polynomial $p(x)=a x 2+b x+c$ passes through the points $(1,2),(-1,6)$, and $(2,3)$.

Equation Transcription:

$p(x)\ =\ ax2\ +\ bx\ +\ c$

$(1,\ 2),\ (−1,\ 6)$

$(2,\ 3)$

Text Transcription:

$p(x)\ =\ ax2\ +\ bx\ +\ c$

$(1,\ 2),\ (−1,\ 6)$

$(2,\ 3)$

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?Find values of a, b, and c such that the graph of the polynomial \(p(x)=a x 2+b x+c\)