In mathematics, a polynomial is an algebraic expression containing more than two terms. When the polynomial could not be reduced to a lower degree, it is classified as a prime polynomial. Just like whole numbers, a prime polynomial cannot be broken down into factors except 1 and by the number itself. Take for example, the polynomial x² + 5x + 6. It can be reduces to its factors x=-2 and -3. That would be expressed to x² + 5x + 6 = (x+2)(x+3). But if the polynomial is, say, x² + 5x + 7, there is no roots that are whole numbers. Therefore, it can't be reduced into factored groups because it is a prime polynomial.

5 0

2 years ago

De moirve's (√3-i ÷ √3+i)^6 = 1

bulgar [2K]

(√3 - i ) / (√3 + i ) × (√3 - i ) / (√3 - i ) = (√3 - i )² / ((√3)² - i ²)

… = ((√3)² - 2√3 i + i ²) / (3 - i ²)

… = (3 - 2√3 i - 1) / (3 - (-1))

… = (2 - 2√3 i ) / 4

… = 1/2 - √3/2 i

… = √((1/2)² + (-√3/2)²) exp(i arctan((-√3/2)/(1/2))

… = exp(i arctan(-√3))

… = exp(-i arctan(√3))

… = exp(-iπ/3)

By DeMoivre's theorem,

[(√3 - i ) / (√3 + i )]⁶ = exp(-6iπ/3) = exp(-2iπ) = 1

7 0

2 years ago

I need help with this

mr_godi [17]

Area of each piece of paper = 8 1/2 x 11 = 17/2 x 11 = 187/2

The greatest number of possible pieces of paper = [1000 ÷ 187/2] = [1000 x 2/187] = [2000/187] = 10

4 0

2 years ago

What is the value of x?

Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

Since these two are same side interior angles, their measures must be supplementary. This means that they must add up to 180 degrees. Therefore:

45+2x-5=180

2x+40=180

2x=140

x=70

Hope this helps!

5 0

2 years ago

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