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Fittoniya [83]
3 years ago
15

K(x) = x^3 +2x^2-x-2 find all roots

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
3 0
<h2>The all roots are equation are 1, - 1 and - 2.</h2>

Step-by-step explanation:

The given cubic polynomial:

k(x) = x^3 + 2x^2 - x -2

To find, the all roots are x^3 + 2x^2 - x -2 = ?

∴ k(x) = x^3 + 2x^2 - x -2

⇒ x^3 + 2x^2 - x -2 = 0

⇒ x^2(x + 2) - 1(x + 2) = 0

⇒ (x^2 - 1)(x + 2) = 0

⇒ x^2 - 1 = 0 and x + 2 = 0

⇒ x^2 - 1 = 0

⇒ x^2 = 1

⇒ x = ± 1 = 1, - 1

or, x + 2 = 0

⇒ x = - 2

Thus, the all roots are equation are 1, - 1 and - 2.

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Step-by-step explanation:

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3 years ago
What value of y makes y + (4 - 2y) = 2 true?
BlackZzzverrR [31]

Answer:

y = 2

Step-by-step explanation:

Given

y + (4 - 2y) = 2 ← remove parenthesis on left side

y + 4 - 2y = 2, that is

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- y = - 2 ( multiply both sides by - 1 )

y = 2

8 0
3 years ago
An egg farm packages 264 total cartons of eggs each month.The farm has three different sizes of cartons.The small carton holds 8
Masja [62]

I don't know.. can you please explain it?

3 0
3 years ago
Linda has d dollars in an account that pays 1.4% interest, compounded weekly. She withdraws w dollars. Express her first week’s
Fittoniya [83]

Answer:

If the 1.4% rate of interest is the weekly rate of interest, Then, total first week interest = 1.4(d - w)/100 = 0.014(d - w)

But if the 1.4% rate of interest is a yearly rate of interest compounded weekly, then her total first week interest = 7(d - w)/2600 = 0.00269 (d - w)

Step-by-step explanation:

The interest, I = PRT

P = initial amount of dollars in account = (deposit - withdrawal) = (d - w)

R = rate of interest = 1.4% = 0.014/week

T = time = 1 week

If the 1.4% rate of interest is the weekly rate of interest

I = PRT = (d - w) × 0.014 × 1 = 0.014(d - w)

But if the 1.4% rate of interest is a yearly rate if interest compounded weekly,

P = initial amount of dollars in account = (deposit - withdrawal) = (d - w)

R = rate of interest = 1.4% = 0.014/year

T = time = 1 week = (1/52) years

I = PRT = (d - w) × 0.014 × (1/52) = 7(d - w)/2600 = 0.00269 (d - w)

Hope this Helps!!!

7 0
3 years ago
Read 2 more answers
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C) 15.5 pounds

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Will's group: 11.8 + ___ = 27.3
27.3 - 11.8 = 15.5
5 0
3 years ago
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