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AleksandrR [38]
1 year ago
14

Given f(x) = x3 – 2x2 – x + 2, the roots of f(x) are

Mathematics
2 answers:
ANTONII [103]1 year ago
8 0

Answer:

Question 1: -1, 1, 2

Question 2: B

Question 3: 1, 2, below

Step-by-step explanation:

kolezko [41]1 year ago
3 0
You have the following expression given in the problem:

f(x) = x³ – 2x²<span> – x + 2

 Therefore, to find the roots, you must apply the proccedure shown below:

 1. You have:

 0 </span><span>= x3 – 2x2 – x + 2

 2. Then, when you factor, you obtain:

 (x-2)(x-1)(x+1)=0

 3. Therefore, you have that the roots are the following:

 x1=-1
 x2=1
 x3=2</span>
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Which expressions are equivalent to the given expression √40
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Answer:

2√10

Step-by-step explanation:

√40 = √(4*10) = √4 * √10 = 2√10

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The HCF of the greatest 2- digit number and the greatest 3-digit number is
Natasha_Volkova [10]

Answer:

9

Step-by-step explanation:

So the greatest 2 digit number is 99 and the greatest 3 digit number is 999

So find the hcf ( highest common factor ) of 99 and 999.

Factors of 99      : 1, 3, 9, 11, 33, 99

Factors of 999    : 1, 3, 9, 27, 37, 111, 333, 999

Common factors : 1, 3, 9

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7 0
1 year ago
What is the sum of all positive integers smaller than $1000$ that can be written in the form $100\cdot 2^n$, where $n$ is an int
netineya [11]

Answer:

The sum is 1575.

Step-by-step explanation:

Consider the provided information.

It is given that positive integers smaller than 1000 and that can be written in the form 100\cdot 2^n

Where n is integer that means the value of n can be a positive number or a negative number.

For n = 0

100\cdot 2^{0}=100

For n=-1

100\cdot 2^{-1}=50

For n=-2

100\cdot 2^{-2}=25

For n = -3 the obtained number is not an integer.

Now consider the positive value of n.

For n=1

100\cdot2^1 = 200

For n=2

100\cdot2^2 = 400

 For n=3

100\cdot2^3 = 800

For n=4 the obtained number is greater than 1000.

Now add all the numbers.

100+50+25+200+400+800=1575

Hence, the sum is 1575.

6 0
1 year ago
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