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3 years ago

Factor the polynomial function over the complex numbers. f(x)=x^3-2x^2+3x-6

1 answer:

6 0

$f(x)=x^3-2x^2+3x-6=x^2(x-2)+3(x-2)=(x-2)(x^2+3)\\\\i=\sqrt{-1}\to i^2=-1\\\\x^2+3=x^2-(-3)=x^2-3i^2=x^2-(\sqrt3)^2i^2)=x^2-(i\sqrt3)^2\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\\boxed{f(x)=(x-2)(x-i\sqrt3)(x+i\sqrt3)}$

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Simpson deposits $1,200 in a savings account that earns simple interest at the rate of 5% per year. What interest does he earn a

Verdich [7]

Answer:

$60

Step-by-step explanation:

1200*0.05 = $60

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3 years ago

I do not understand!!help please?!

blsea [12.9K]

Answer:

a. (3x^4 + 6 ) + (2x^2)

b. (X^3 ) + (-x -7)

c. (4.6x^4) + (-1.5x^2)

Step-by-step explanation:

For the first one, we have to write to polynomials, which equal 3x^4 + 2x^2 +6

One possible solution is (3x^4 + 6 ) + (2x^2)

For b, we can do,

(X^3 ) + (-x -7)

And finally for c, we can write,

(4.6x^4) + (-1.5x^2)

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3 years ago

If m and n can be any integers such that n<4 and 4m - 3n < 20, which of following is the solution set for m?A m <7.25B

soldier1979 [14.2K]

If we multiply the inequality n<4 by 3 we get the following:

$(n$

Now, on the next inequality we have the following:

$\begin{gathered} 4m-3n$

By transitive property, we have:

$\begin{gathered} 3n$

therefore, the solution set for m is m<8

3 0

1 year ago

How many solutions are there for the equation y = x + 2?

defon

Answer:

Infinite solutions.

Step-by-step explanation:

If we let x = 1 then y = 3, or if x = 3 y = 5 and so on.

We can substitute any number of values of x and find the corresponding value of y so there are infinite solutions.

5 0

3 years ago

At the end of year 1, Boller Co. had an ending balance in allowance for uncollectible accounts of $30,000. During year 2, Boller

Masja [62]

Answer:

$34,000

Step-by-step explanation:

First they had 30,000

Then wrote off 40,000

So balance is 30,000 - 40,000 = -10,000

Now, they want 8% of 300,000 as uncollectible. So that would be

0.08 * 300,000 = 24,000

Thus, to bring the balance to 24,000 [balance is -10,000], how much would they need to add?? Let it be x:

-10,000 + x = 24,000

x = 24,000 + 10,000 = $34,000

8 0

3 years ago