Question

If the two zeros of polynomial x³+7x²-2x-14 are √2 and -√2 then its third zeros is....
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Answer 1

Answer:

            -7

Step-by-step explanation:

The sum of the roots of a cubic

  ax³ + bx² + cx + d

is -b/a.

The cubic x³ + 7x² - 2x - 14 corresponds to a=1 and b=7, so the sum of the roots of this cubic is -b/a = -7.

Given that two of the roots are √2 and -√2, the third root c then satisfies

  c + √2 - √2 = -7   ⇒   c = -7

Answer 2

Answer:

Fine

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