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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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A line contains the points (–4, 5) and (3, –9). Write the equation of the line using slope-intercept form.
Galina-37 [17]
(-4,5)(3,-9)
slope = (-9 - 5) / (3 - (-4) = -14 / (3 + 4) = -14/7 = -2

y = mx + b
slope(m) = -2
use either of ur points...(-4,5)...x = -4 and y = 5
now we sub and find b, the y int
5 = -2(-4) + b
5 = 8 + b
5 - 8 = b
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so ur equation is : y = -2x + (-3) which can be written as : y = -2x - 3
4 0
4 years ago
The numbers from 1 to 150, inclusive, are placed in a bag and a number is randomly selected from the bag. What is the probabilit
Ivan

Answer:

139/150

Step-by-step explanation:

Let's make a list of the perfect squares.

1 4 9 16 25 36 49 64 81 100 121 144

The probability that one of these is drawn is 12/150 = 4/50 = 2/25

Take out 1. So that means there are 11 perfect squares.

11/150 are your chances of getting a perfect square.

1 - 11/150 = 139/150 that you will not get a perfect square.

I would have included 1 in the perfect squares, but the question says not to so you can't.

If the question did not mean that 1 should be excluded, then the answer is 23/25

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3 years ago
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Step-by-step explanation:

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