p is a polynomial of degree 5. p has roots of multiplicity 2 at t=4 and t=0, a root of multiplicity 1 at t=-4, and p(1)=2025. Fi
nd the equation for p. Help please
1 answer:
P(x) = (x^2)(x - 4)^2(x + 4) + some constant(b)
2025 = (1^2)(1 - 4)^2(1 + 4) + b
2025 = 45 + b
b = 1980
Complete Equation:
p(x) = (x^2)(x - 4)^2(x +4) + 1980
or expanded form
p(x) = x^5 - 4x^4 - 16x^3 + 64x^2 + 1980
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