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have been trying to solve a polynomial by remainder theorem to find the cofficients of x

find the values of P, q and r such that when the polynomial f(x) = x^3 + Px^2 +qx + r is divided by (x+2), (x-1) and (x-3), the reminders are respectively, -48, 0 and 2

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Robert J. | Certified High School AP Calculus and Physics TeacherCertified High School AP Calculus and Ph...
4.6 4.6 (13 lesson ratings) (13)
Hint: Use remainder theorem.
f(-2) = -8+4p-2q+r = -48
f(1) = 1+p+q+r = 0
f(3) = 27+9p+3q+r = 2
Solving the system gives you the answer.