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alisha [4.7K]
3 years ago
15

Factor the polynomial as a product of linear factors with complex coefficients.

Mathematics
2 answers:
lys-0071 [83]3 years ago
8 0

15386553sssssssssssssssssssssssssssssssssssssssss

shepuryov [24]3 years ago
3 0

Answer:

The function

f(x) = x3 + 2x2 − x − 2

is a trinomial and it is expected that it has three factors corresponding to the three roots. The possible roots could 1, -1, 2, or -2. Trying out 1

f(1) = 1 + 2 - 1 - 2 = 0

According to the remainder theorem (x - 1) is a factor. By doing synthetic division

1 | 1 2 -1 -2

      1  3  2

    1  3 2  0

f(x) = (x - 1)(x2 + 3x + 2)

which can further be factored into

f(x) = (x -1)(x +1)(x + 2)

The three factors are

x-1

x+1

x+2

which are all linear expressions

Step-by-step explanation:

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I have to put 0.05 in a percentage then a fraction then put it in its lowest term
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To convert a decimal to a percentage, multiply by 100 and add a percent sign.
0.05 • 100 = 5
0.05 as a percent is 5%.

To convert a decimal to a fraction, you find what place each value is in first.
The 5 in in the hundredths place, so the denominator would be 100 and the numerator would be 5.
0.05 as a fraction is 5/100.

To simplify a fraction, find the GCF (greatest common factor) of the numerator and denominator, then divide both sides by it.
5 is the largest factor of 5 and, since it goes into 200 as well, that makes it the GCF of 5 and 200.
Now divide 5 by 5 and 200 by 5.
5 / 5 = 1
200 / 5 = 40
5/100 in lowest terms, also known as simplest form, is 1/40.

Hope this helps! :)
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4 years ago
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Laura has 45 buttons. She gives away b buttons. Write an expression that shows the number of buttons Laura has left.
USPshnik [31]
Giving away indicates subtraction. Therefore, the expression is 45 - b.
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Write the equation that passes through the point (-2,4) and has a slope of 7
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What is 90985 rounded off to the nearest thousand?<br><br> A.90000 B.91000 C.90900 D.100000​
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Answer:

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Step-by-step explanation:

8 0
3 years ago
A particle moves in a straight line so that its velocity at time
riadik2000 [5.3K]

Answer:

s(2) = 7.75

Step-by-step explanation:

given the velocity v(t) = t^3

we can find the position s(t) by simply integrating v(t) and using the boundary conditions s(1)=2

s(t) = \int {v(t)} \, dt\\ s(t) = \int {t^3} \, dt\\s(t) = \dfrac{t^4}{4}+c

we know throught s(1) = 2, that at t=1, s =2. we can use this to find the value of the constant c.  

s(1) = \dfrac{1^4}{4}+c\\4 = \dfrac{1^4}{4}+c\\c = 4-\dfrac{1}{4}\\c = \dfrac{15}{4} = 3.75

Now we can use this value of t to formulate the position function s(t):

s(t) = \dfrac{t^4}{4}+\dfrac{15}{4}\\

this is the position at time t.

to find the position at t=2

s(2) = \dfrac{2^4}{4}+\dfrac{15}{4}\\

s(2) = \dfrac{2^4}{4}+\dfrac{15}{4}\\

s(2) = \dfrac{31}{4} = 7.75

the position of the particle at time, t =2 is s(2) = 7.75

3 0
3 years ago
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