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iragen [17]
4 years ago
15

If a polynomial function f(x) has roots -9 and 7-i, what must be a factor of f(x)

Mathematics
2 answers:
Alina [70]4 years ago
7 0

Answer:

(x-(7-i))

Step-by-step explanation:

For a polynomial with roots a and b, the polynomial f(x) can be written in factored form (x-a)(x-b). That way, when you plug in any of the roots, f(x) returns zero.

Since the polynomial has at least two roots-9 and 7-i, two of its factors must then be:

(x-(-9)\implies (x+9)\\(x-(7-i))\impli

Therefore, the desired answer is \boxed{(x-(7-i))}

Vsevolod [243]4 years ago
6 0

Answer:

f(x) = [x-(7-2i)][x-(7+2i)]

= [(x-7)+2i][(x-7)-2i]

= (x-7)2 - (2i)2

= x2 - 14x + 49 - 4i2 = x2 - 14x + 49 +4

= x2 - 14x + 53

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