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Number of Zeroes

How many zero...

Question

How many zeros can the polynomial
$p (x) = x^{5} + 4 x^{4} + 3 x^{2} + 2 x + 1$
have at most?
5

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Solution

The correct option is A 5

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Evaluate $(x^{5}) \times (3 x^{2}) \times (- 2 x)$ for x=1.

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Q. Find the equation when the roots of the equation

x^{5} - 4 x^{4} + 3 x^{2} - 4 x + 6 = 0

is diminished by

3

[4 x^{4} + 8 x^{3} + 8 x^{2} + 4 x + 1]

can be simplified to

(2 x^{2} + 2 x + 1)^{2}

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