Let f (x) = x^4 + x^3 + x^2 + x +1.(a) Evaluate f (1).(b) Show that (x - 1)f(x) = x^5 −1.

Mathematics Higher Level for the IB Diploma | 3 Polynomials
page 86 | question 4
Let f (x) = x^4 + x^3 + x^2 + x +1.
(a) Evaluate f (1).
(b) Show that (x - 1)f(x) = x^5 −1.
(c) Sketch y = x^5 −1.
(d) Hence show that f x) has no real roots.

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#polynomials #roots #graph #mathematics #IB_Diploma

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