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alexira [117]
3 years ago
5

Find a third degree polynomial function with real coefficients and with zeros 4 and 3+i

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
3 0
X = 4 ; x = 3 + i ; x = 3 - i

(If you get a zero that is adding or subtracting, you always need to write it twice but change the sign do they cancel out)

f(x) = (x-4)(x-3-i)(x-3+i)

Distributing the last two parenthesis first is always the best way to start off

(x-3-i)(x-3+i) has (x-3) in common so it can be separated to

(x-3)^2 + (-i)(+i)

(x^2 - 6x + 9) ; (-i)(+i) is always +1
(x^2 - 6x + 9) + 1
(x^2 - 6x + 10)

Now multiply this with (x-4)
x^3 - 6x^2 + 10x
- 4x^2 + 24x - 40

x^3 - 10x^2 + 34x - 40 = f(x)

You might be interested in
50 POINTS<br>what is 2^-4×r^3×s^-2 <br>when r=-3 and s=5?<br>Explain please..
Korvikt [17]
You'll get -6.25
To find a negative power, put it 1 over it and remove the negative symbol. For example, to simplify 2^-4, we would do 1/2^-4, then remove the negative to get 1/2^4, which is 0.0625
Then you have that -3^3 is -27 (since -3*-3*-3 is -27). Then using the above method, you can simplify 5^-2 to 1/5^2, which is 0.4

0.0625*-27*0.4 is -27/400

:)
5 0
3 years ago
Read 2 more answers
3 If f(x) = x2 and g(x) = x + 6, find g(f(0)). A. -6 B. 6 C. 12 D. 36
harkovskaia [24]

Answer:

6

Step-by-step explanation:

g(f(0)) means that the input of f(x) is 0 and this value of f(x) found is the input of g(x). This is known as composite functions.

Let's find the value of f(0).

f(x)= x²

f(0)= 0²

f(0)= 0

Now, we can find the value of g(f(0)).

g(x)= x +6

g(f(0))

= g(0)

= 0 +6

= 6

4 0
2 years ago
What is the number to the right of the decimal point called?
koban [17]
Tenths. Hope this helped.
5 0
3 years ago
Really need help please! Brainliest to correct!
vovikov84 [41]

Let's say "m" is the manufactoring cost per drill (in dollars).

Then the manufactorer sells it for $4 more, so this would be:

    m+4

Then the chain store sells it for 140% of the price is paid the manufactorer, so this would be "140% of (m+4)" which translates to "1.4•(m+4)" or more simply:

    1.4(m+4)

P(m) = 1.4(m+4), where m is the initial manufactoring cost (in dollars).

Simplifying, you could rewrite this as:

     P(m) = 1.4m + 5.6

7 0
2 years ago
Need help with this!!!! Please!!!
Stella [2.4K]
Answers are C and F.....
3 0
3 years ago
Read 2 more answers
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