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Marathas

Find the numb...

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).

A

2

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B

3

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C

1

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Solution

The correct option is C 1
Ans: A(1)

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If $p (x) = x^{3} - 3 x^{2} - 9 x - 9$ , find p(0), p(3), p(-3) and p(-1). What do you condlude about the zeros of p(x)? Is 0 a zero p(x)?

Q. If α, β, γ be the zeros of the polynomial p(x) such that (α + β + γ) = 3, (αβ + βγ + γα) = −
10 and αβγ = −24, then p(x) = ?

(a) x³ + 3x² − 10x + 24
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(d) None of these

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).

Q. 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).

Find all zeros of the polynomial $P (x) = x^{3} - 3 x^{2} - 6 x + 8$ knowing that x = 1 is a zero of the polynomial.

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