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NikAS [45]
3 years ago
15

Fill in the missing numbers to complete the factorization. Some of the numbers could be negative. Type the numbers in increasing

order.
x 3 + 2x 2 - x - 2 = (x +______________ )(x + ______________)(x +_______________ )
Mathematics
2 answers:
MissTica3 years ago
8 0
(x-1)(x+1)(x+2)
Hope this helps
Kisachek [45]3 years ago
4 0

Answer:

(x-1)(x+1)(x+2)

Step-by-step explanation:

Lets use grouping method to factor

x^3+2x^2-x-2

We group first two terms and last two terms

(x^3+2x^2)+(-x-2)

Factor out GCf from each group

GCf for first group is x^2 and for second group is -1

x^2(x+2)-1(x+2)

We have x+2 in common , so we factor out x+2

(x^2-1) (x+2)

Now we factor x^2 -1

We use difference  of squares formula a^2-b^2 = (a+b)(a-b)

x^2 -1 can be written as x^2 - 1^2

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

So factors are (x+1)(x-1)(x+2)

We write it in increasing order

(x-1)(x+1)(x+2)


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confirm or disprove ernest's work by selecting two different points and applying the slope formula. be sure to identify the poin
yan [13]

Answer:

Part a) Ernest's calculation was correct

Part b) Ernest's calculation was correct

Step-by-step explanation:

The picture of the question in the attached figure

<u><em>The complete question is</em></u>

Ernest calculated the slope of the graph during the uphill climb to be 10. His work is shown below.

Points: (60.900). (15, 450)

Slope : 900-450/60-15=450/45=10

Part a) Determine whether his calculation was correct or incorrect, and then explain why.

Part b) Confirm or disprove Ernest's work by selecting two different points and applying the slope formula. be sure to identify the points you chose

Part a)

we know that

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have the points

A(60,900),B(15,450)

Remember that

m_A_B=m_B_A

step 1

Find m_A_B

substitute in the formula

m_A_B=\frac{450-900}{15-60}\\\\m_A_B=\frac{-450}{-45}=10

step 2

Find m_B_A

substitute in the formula

m_B_A=\frac{900-450}{60-15}\\\\m_B_A=\frac{450}{45}=10

therefore

Ernest's calculation was correct, because m_A_B=m_B_A

Part b) selecting two different points

we take the points

(0,300) and (50,800) -----> see the attached figure

substitute in the formula of slope

m=\frac{800-300}{50-0}

m=\frac{500}{50}

m=10

therefore

Ernest's calculation was correct

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2 years ago
Which of the following is the solution to 4 | X+3 8 ?
mylen [45]
C. XS-5 and x > -1 lol
5 0
3 years ago
a family has five children. the probability of having a girl is 1/2. whats probability of having at leasr 4 girls g'
Dima020 [189]

Answer:

Probability of having at least 4 Girls

= 0.6875

Step-by-step explanation:

Probability of having at least 4 Girls is 1-probability of having exactly 3 girls

Total number of children= 5 = N

Probability of having a girl p = 0.5

Probability of not having a girl q= 0.5

X= 3

Probability of at least 4 girls is given by

Probability= NCX(p)^x(q)^(N-x)

Probability = 5C3(0.5)^3(0.5)^(5-3)

Probability = 5C3(0.5)^3(0.5)^2

Probability= 5!/3!2!(0.5)^3(0.5)^2

Probability= 10(0.125)(0.25)

Probability= 0.3125

Probability of having at least 4 Girls

= 1- 0.3125

= 0.6875

7 0
2 years ago
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