Find the number of zeros of - - - if - - 1 is a zero of -

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Geometrical Representation of a Linear Polynomial

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Question

Find the number of zeros of $p (x) = x^{3} - 3 x^{2} + 3 x - 1$ if 𝑥 = 1 is a zero of 𝑝(𝑥).

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Find the number of zeros of $p (x) = x^{3} - 3 x^{2} + 3 x - 1$ if 𝑥 = 1 is a zero of 𝑝(𝑥).

p (x) = 4 x + 3

x^{2} + p x + 12 = 0

4

x^{2} + p x + q = 0

q

x^{2} - p x + q = 0

p (x) = 2 x^{4} - 9 x^{3} + 5 x^{2} + 3 x - 1

2 + \sqrt 3

2 - \sqrt 3

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