Writing Polynomial Functions from Complex Roots Answers

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Which second degree polynomial function has a leading coefficient of –1 and root 4 with multiplicity 2?

f(x) = –x2 – 8x – 16

f(x) = –x2 + 8x – 16

f(x) = –x2 – 8x + 16

f(x) = –x2 + 8x + 16

Which polynomial function f(x) has a leading coefficient of 1, roots –4, 2, and 9 with multiplicity 1, and root –5 with multiplicity 3?

f(x) = 3(x + 5)(x + 4)(x – 2)(x – 9)

f(x) = 3(x – 5)(x – 4)(x + 2)(x + 9)

f(x) = (x + 5)(x + 5)(x + 5)(x + 4)(x – 2)(x – 9)

f(x) = (x – 5)(x – 5)(x – 5)(x – 4)(x + 2)(x + 9)

What is the polynomial function of lowest degree with lead coefficient 1 and roots i, –2, and 2?

f(x) = x3 – x2 – 4x + 4

f(x) = x4 – 3x2 – 4

f(x) = x4 + 3x2 – 4

f(x) = x3 + x2 – 4x – 4

Which polynomial function has a leading coefficient of 1 and roots (7 + i) and (5 – i) with multiplicity 1?

f(x) = (x + 7)(x – i)(x + 5)(x + i)

f(x) = (x – 7)(x – i)(x – 5)(x + i)

f(x) = (x – (7 – i))(x – (5 + i))(x – (7 + i))(x – (5 – i))

f(x) = (x + (7 – i))(x + (5 + i))(x + (7 + i))(x + (5 – i))

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