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2. Polynomials
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Q2 of 113 Page 71

If α, β, γ are the zeros of the polynomial x3 – 6x2 – x + 30 then the value of (αβ + βγ + γ α) is

We have,

p (x) = x3 – 6x2 – x + 3


Now we will compare the given polynomial with: x3 – () x2 + () x –


By comparing we get:


() = - 1

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28

Which of the following is a true statement?

1

Zeros of p(x) = x2 – 2x – 3 are

3

If α, β are the zeros of kx2 – 2x + 3k such that α + β = αβ then k = ?

4

If is given that the difference between the zeros of 4x2 – 8kx + 9 is 4 and k > 0. Then k = ?

Questions · 113
2. Polynomials
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