Find All the Zeros of the Function and Write the Polynomial

question 82

Multiple Choice

Find all the zeros of the function and write the polynomial as a product of linear fac- tors.
$y ^ { 4 } - 16$

• A) \(\pm 2 ( y - 2 ) ( y + 2 )\)
• B) \(\pm 2 , \pm 2 i ; ( y - 2 ) ( y - 2 ) ( y + 2 i ) ( y + 2 i )\)
• C) \(\pm 2 , \pm 2 i ; ( y - 2 ) ( y + 2 ) ( y - 2 i ) ( y + 2 i )\)
• D) \(\pm 2 i ; ( y - 2 i ) ( y + 2 i )\)
• E) \(2,2 i ; ( y + 2 ) ( y + 2 ) ( y - 2 i ) ( y - 2 i )\)

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Definitions:

Lower Terms

Expressing a fraction in its simplest form so that the numerator and denominator are as small as possible.

Ratio

A comparison, by division, of the relative size of two or more quantities.

Proportion

A statement of the equality of two ratios.

Direct Labour

The cost of wages for employees who directly manufacture or produce goods and services.