Find all the zeroes of the polynomial 2x4 7x 19x2-14x + 30, if two of its zeroes are

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If two of zeroes of the polynomial px=2x4+7x3 19x2 14x+30 are √2 and √2, then the other zeroes are

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4

Verify that the numbers given alongside of the cubic polynomials below are their zeroes. Also, verify the relationship between the zeroes and coefficients in each case:
2x3 + x2 –5x + 2; 1/2, 1,–2

Let p(x) = 2x3+x2–5x + 2 Comparing the given polynomial with ax3 + bx3

+ cx + d, we get

Now,

and

∴

are the zeroes of

Hence, verified.Here, we have

Now,

and

Hence verified.

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