Consider the points in Table 1.

(A) Let p₁(x) = a₀ + a₁(x - 1). Determine a₀ and a₁ so that the graph of y = p₁(x) passes through the first two points in Table 1.

(B) Let p₂(x) = a₀ + a₁(x – 1) + a₂(x - 1)(x - 2). Determine a₀, a₁, and a₂ so that the graph of y = p₂(x) passes through the first three points in Table 1.

(C) Let

Determine a₀, a₁, a₂, and a₃ so that the graph of y = p₃(x) passes through all four points in Table 1.

Transcribed Image Text:

P3(x) = ao + a₁(x - 1) + a₂(x − 1)(x - 2) - + a3(x - 1) (x - 2) (x-3).