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SSSSS [86.1K]
2 years ago
11

Factorize of 2a³-a²+a-2​

Mathematics
1 answer:
IrinaK [193]2 years ago
5 0
<h3>Answer:  (a - 1)(2a² + a + 2)</h3>

=========================================================

Explanation:

Use the rational root theorem to determine this list of possible rational roots: 1, -1, 1/2, -1/2

Plug each possible root one at a time into the original expression given. If the simplified result is 0, then that possible root is an actual root.

If we tried say a = -1, then,

2a³-a²+a-2​ = 2(-1)³-(-1)²+(-1)-2​ = -6

The result is not zero, so a = -1 is not an actual root.

But if we tried say a = 1, then,

2a³-a²+a-2​ = 2(1)³-1²+1-2​ = 0

We get 0 so a = 1 is an actual root. I'll let you try the other values, but you should find that a = 1 is the only rational root.

Since a = 1 is a root, this makes (a-1) to be a factor.

From here, use either synthetic or polynomial long division to determine the other factor. Refer to the diagram below for each method.

Regardless of which method you pick, the quotient is 2a² + a + 2 which is the other factor needed. The remainder of 0 tells us we have (a-1) as a factor. For more information, check out the remainder theorem.

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Consider the following cumulative probability distribution.
Marat540 [252]

The solution  P(x \leq 4),p{x= 3), p(2 \leq * \leq 4)  is mathematically given as

  • P(2 \leq X \leq 4)=0.84
  • P(X=3)= 0.17
  • P(2 < =X\leq 4)=0.53

<h3>What is the solution P(x \leq 4),p{x= 3), p(2 \leq * \leq 4)?</h3>

Generally, the equation for the Probability of P(X=3) is mathematically given as

b)

P(X=3) = P(X \leq 3)-P(X\leq 2)

Therefore

P(X=3)= 0.65-0.48

P(X=3)= 0.17

c)

P(2\leq X\leq 4) = P(X\leq 4)-P(X\leq 1)\\\\\\P(2\leq X\leq 4) = 0.84-0.31'

P(2 < =X\leq 4)=0.53

a)

P(2\leq X\leq 4)=0.84

Read more about cumulative probability distribution.

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7 0
2 years ago
Which of the following expressions represents the statement below?
exis [7]

Option D. 2(n + 9) is the right answer

Step-by-step explanation:

The word problems are converted into mathematical problems to solve simply.

for the given problem

"two times the sum of a number and 9"

Let n be a number then

when there is and between two things they are performed first then next operation is performed so

the sum of a number and 9

n+9

Then

two times the sum of a number and 9

2(n+9)

Hence,

Option D. 2(n + 9) is the right answer

Keywords: Mathematical notation

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5 0
3 years ago
The tempature was very cold,tgen it doubled,then it dropped 10 degrees,and then it increased by 40 degrees.The tempature is now
ycow [4]

Answer

The initial temperature was T = -7 degrees

Step-by-step explanation:

Let the initial temperature be T.

- The tempature was very cold

Temperarure = T

- Then it doubled

Temperature = 2T

- Then it dropped 10 degrees

Temperature = 2T - 10

- And then it increased by 40 degrees.

Temperature = 2T - 10 + 40 = 2T + 30

The tempature is now 16 degrees

Temperature = 16 degrees

2T + 30 = 16

2T = -14

T = -7 degrees

Hope this Helps!!!

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