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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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Can someone explain how this works and help me to find the answer?
pav-90 [236]
470 = 8.75(46 - c) + 11c
470 = 402.5 - 8.75c + 11c
67.5 = 2.25c
30 = c

If c = 30 and Soren worked 30 hours in the office, earning $11 per hour, he earns $330 from his office job. 46 - 30 = 16, which should be the remaining amount of hours Soren worked. 16 * 8.75 = 140. He earned $140 from his cashier job. $330 + $140 = $470.

The correct formula to solve this problem is A. 11c + 8.75(46 - c) = 470
8 0
3 years ago
What is constant of Proportionality in the equation y = 2.5x ?
Tpy6a [65]

Answer:

<em>2.5</em>

Step-by-step explanation:

A direct variation equation has the form y = kx, where k is the constant of proportionality.

In this case, the constant of proportionality is 2.5.

4 0
3 years ago
A parabola can be drawn given a focus of (-4,10) and a directrix of y=-4 write the equation of the parabola in any form
sweet-ann [11.9K]

Answer:

(x+4)^2=28(y-3)

Step-by-step explanation:

The directrix of the parabola is the horizontal line with the eqaution y=-4. The focus of the parabola is at point (-4,10), than the axis of symmetry of the parabola is the perpendicular line to the directrix passing through the focus. Its equation is x=-4

The distance between the directrix and the focus is |10-(-4)|=14, so p=14 and the vertex is at point \left(-4,10-\dfrac{14}{2}\right)\rightarrow (-4,3)

Parabola goes in positive y-direction, hence its equation  is

(x-x_0)^2=2p(y-y_0),

where (x_0,y_0) is the vertex, so the equation of this parabola is

(x+4)^2=28(y-3)

8 0
4 years ago
Guys pls help me! ASAP!
Makovka662 [10]

Answer:

Step-by-step explanation:

2. area of a triangle is 1/2 b h

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you only need 1/2 of this area

find all these areas and add them together.

6. this is just a square sitting on a rectangle.

36 x 36 for the square

36 x 60 for the rectangle

add these together.

8. this a 1/2 circle and a triangle.

area of a circle is pi r squared

r is 7 in this problem

the area of a triangle is 1/2 b h

height is 7x2 here or 14

add the two together.

4 0
3 years ago
If the area of the following parallelogram is 30 square centimeters, what is the length of the base?
sleet_krkn [62]

Answer:

5 cm

Step-by-step explanation:

8 0
3 years ago
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