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victus00 [196]
3 years ago
12

I don't understand please help

Mathematics
1 answer:
hoa [83]3 years ago
8 0
My guess is that the answer is a
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Find all the zeros of the function <br> g(x)=x^3-4x^2-x+22
vagabundo [1.1K]

Answer:

x = -2, x = 3 − i√8, and x = 3 + i√8

Step-by-step explanation:

g(x) = x³ − 4x² − x + 22

This is a cubic equation, so it must have either 1 or 3 real roots.

Using rational root theorem, we can check if any of those real roots are rational.  Possible rational roots are ±1, ±2, ±11, and ±22.

g(-1) = 18

g(1) = 18

g(-2) = 0

g(2) = 12

g(-11) = 1782

g(11) = 858

g(-22) = -12540

g(22) = 8712

We know -2 is a root.  The other two roots are irrational.  To find them, we must find the other factor of g(x).  We can do this using long division, or we can factor using grouping.

g(x) = x³ − 4x² − 12x + 11x + 22

g(x) = x (x² − 4x − 12) + 11 (x + 2)

g(x) = x (x − 6) (x + 2) + 11 (x + 2)

g(x) = (x (x − 6) + 11) (x + 2)

g(x) = (x² − 6x + 11) (x + 2)

x² − 6x + 11 = 0

Quadratic formula:

x = [ 6 ± √(36 − 4(1)(11)) ] / 2

x = (6 ± 2i√8) / 2

x = 3 ± i√8

The three roots are x = -2, x = 3 − i√8, and x = 3 + i√8.

5 0
3 years ago
I need help with this question u=k÷a for a
Katyanochek1 [597]
Ua=k
a=k/u
since you first multiply a then divide u pls put my answer as the brainiest one<span />
8 0
4 years ago
What are the blanks for the boxes
Mariana [72]

Answer:

1.dividing

2.to

Step-by-step explanation:

hope it helps

3 0
3 years ago
Divide 25 by 8. Write the quotient with a fraction?
marshall27 [118]
25/8 8x3=24   3 1/8 is the answer
6 0
4 years ago
Select all of the numbers that round to 4.3 when rounded to the nearest tenth.
MAXImum [283]

Answer:

the answer is a, e, f,

Step-by-step explanation:

you only round up when its 5 or more, you round down when its 4 or less

3 0
3 years ago
Read 2 more answers
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