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3 years ago

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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3 years ago

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Grace earns $7 for each car she washes. She always saves $25 of her weekly earnings. This week, she wants to have at least $65 i

mars1129 [50]

7c - 25 ≥ 65 is the answer.

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3 years ago

You have 42 ft. of fencing (1 ft. segments) to make a rectangular garden. How much should each side be to maximize your total ar

Verizon [17]

Answer:

$Length=10.5\ ft$

$Width=10.5\ ft$

$Area=110.25\ ft^{2}$

Step-by-step explanation:

Let

x----> the length of the rectangular garden

y---> the width of the rectangular garden

we know that

The perimeter of the rectangle is equal to

$P=2(x+y)$

we have

$P=42\ ft$

$42=2(x+y)$

simplify

$21=(x+y)$

$y=21-x$ ------> equation A

Remember that the area of rectangle is equal to

$A=xy$ ----> equation B

substitute equation A in equation B

$A=x(21-x)$

$A=21x-x^{2}$ ----> this is a vertical parabola open downward

The vertex is a maximum

The y-coordinate of the vertex is the maximum area

The x-coordinate of the vertex is the length side of the rectangle that maximize the area

using a graphing tool

The vertex is the point $(10.5,110.25)$

see the attached figure

$x=10.5\ ft$

Find the value of y

$y=21-10.5=10.5\ ft$

The garden is a square

the area is equal to

$A=(10.5)(10.5)=110.25\ ft^{2}$ ----> is equal to the y-coordinate of the vertex is correct

6 0

3 years ago

What is the FDP of 0.3

exis [7]

Answer:

0.3 = 3/10 = 30%

Step-by-step explanation:

The reading of the number as "three tenths" tells you how to write the fraction:

0.3 = 3/10

You can also express the same value in hundredths. Of course /100 is just a long way to write %, so ...

0.3 = 0.30 = 30/100 = 30%

0.3 = 3/10 = 30%

8 0

3 years ago