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Arada [10]
2 years ago
6

The polynomial P(z) =

^{3} +mz^{2} +nz - 8" alt="z^{3} +mz^{2} +nz - 8" align="absmiddle" class="latex-formula"> is divisible by (z+1+i), where z ∈C, m,n ∈R. Find the value of m and of n.
Mathematics
1 answer:
Ugo [173]2 years ago
3 0

Answer:

m=-2   n=-6

Step-by-step explanation:

(z+1+i)(z+1-i)=z²+2z+1-(i²)=z²+2z+2

z³+mz²+nz-8=(z²+2z+2)(z-4)=z³-2z²-6z-8

m=-2

n=-6

If it's wrong, please delete it

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Sandy evaluated the expression below
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Answer:

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Step-by-step explanation:

(-2)³ (6 - 3) - 5(2 + 3) = -8 · 3 - 5 · 5 = - 24 - 25 = - 49

Because:

(-2) · (-2) · (-2) = 4 · (-2) = - 8

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3 years ago
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What is the value of f(−1) when f(x) = 2x + 2 <br><br> f(−1)=
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5 0
3 years ago
4a + 6b= 10 2a - 4b =12 what does 12a=
mixer [17]
4a + 6b = 10
2a - 4b = 12...multiply by -2
----------------
4a + 6b = 10
-4a + 8b = - 24 (result of multiplying by -2)
------------------add
14b = - 14
b = -14/14
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a = 8/2
a = 4

so 12a = 12(4) = 48 <==
3 0
4 years ago
<img src="https://tex.z-dn.net/?f=%5Ccolor%7Bred%7D%7B%5Ctt%20%7BIn%20%5C%3A%20%20%CE%94%20%5C%3A%20%20ABC%2C%20%E2%88%A0B%3D90%
makkiz [27]

Use Pythagoras theorem

Hypotenuse²=Base²+ Height ²

H²=(8)²+(6)²

H²=64+36

H²= 910

H²=10√91 cm Solution

5 0
3 years ago
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Ol
kogti [31]

Answer:

16

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6 0
2 years ago
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