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Polynomial of degree 3 - Linear Algebra

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Find a polynomial p of degree 3 satisfying:
p(-2)=49, p(-1)=10, p(1)= -2, p(2)= -23

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Let the polynomial be p(x) = ax^3 + bx^2 + cx + d

p(-2) = a(-2)^3 + b(-2)^2 + c(-2) + d = 49

-8a + 4b - 2c + d = ...

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