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d1i1m1o1n [39]
2 years ago
12

Which polynomial is prime? O x²+x+1 O x²-x-2 O x²-12x + 11 Ox²+2x-8

Mathematics
1 answer:
kaheart [24]2 years ago
4 0

Answer:

The correct answer is x^2 + x + 1.

Step-by-step explanation:

A prime polynomial is one that cannot be factored. To solve this problem, we can use the process of elimination by eliminating all answer choices that can be factored.

x^2 - x - 2 = (x - 2)*(x + 1)

x^2 - 12x + 11 = (x - 11)*(x - 1)

x^2 + 2x - 8 = (x + 4)*(x - 2)

Since we cannot factor x^2 + x + 1, and we can factor all of the other answer choices, we know that x^2 + x + 1 is the answer.

Hope this helps!

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Wewaii [24]

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Step-by-step explanation:

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3 years ago
Find the missing value when given the modulus.
kolbaska11 [484]

Solving the complex number, we get the value of the missing value that is ‘a’ = -6

We  have been given the expression as

          |a – i| = √37          (1)

Which is an expression of complex number. The general expression of complex number is given as

    z = x + iy

 where x is the real part and iy is the imaginary part

To find the modulus value, the formula is given by,

  |z| = |x + iy|

   |z| = √[(real part)2 + (imaginary part)2]

 |z| = √(x2 + y2)

According to the question, |z| = √37         (2)

Equating equation (1) and (2), we get

√(a2 + 1) = √37

(a2 + 1) = 37

a2 = 37 – 1

a2 = 36

a = √36

a = ±6

Now value of a can be 6 or -6. We have been given that the modulus is in third quadrant.

Hence the value will be negative. Therefore, the missing value will be -6.

Learn more about complex number here : brainly.com/question/5564133

#SPJ9

3 0
2 years ago
NEED HELP ASAP PLEASE ILL GIVE BRAINLIEST!!!
spayn [35]

Answer:

the answer is in the picture

Step-by-step explanation:

8 0
2 years ago
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