If k is the zero of both the polynomials $x^{2} - 6 x + 8$ and $x^{3} - 5 x^{2} + 6 x$ , then value of k is

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Solution

The correct option is C
2

When we solve $x^{2} - 6 x + 8$ , we get the roots as 2 and 4. Substitute these values in the other equation and check, 2 is satisfied. Hence 2 is the common root of both the equations.

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2

3

x^{3} - 5 x^{2} + 6 x

The polynomial equations $P_{1}$ (x) = $x^{3} + x^{2} + x + 1$ and $P_{2}$ (x) = $x^{2} - 1$ have how many zeroes in common?

- k

α

β

x^{2} - 6 x + k

3 α + 2 β = 20

x

\sqrt{3 x^{2} + 6 x + 7} + \sqrt{5 x^{2} + 10 x + 14} = 4 - 2 x - x^{2},

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