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NikAS [45]
4 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:
MissTica4 years ago
8 0
(x-1)(x+1)(x+2)
Hope this helps
Kisachek [45]4 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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Step-by-step explanation:

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Solve the division equation using the model. (1 point)
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3. 16

Explanation:

Factor the numerator and denominator and cancel the common factors.

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∠A=5x−18. ∠B=3x+42∘ solve for x and then find the measure of ∠A
KatRina [158]

Answer:

x = 30 ∠A = 132 degrees

Step-by-step explanation:

Set the equations equal to each other to solve for x

5x - 18 = 3x + 42

-3x        - 3x               Subtract 3x from both sides

2x - 18 = 42

    + 18  + 18              Add 18 to both sides

2x = 60                     Divide both sides by 2

x = 30

Now plug this into the equation for angle A

∠A = 5(30) − 18        Multiply

∠A = 150 - 18           Subtract

∠A = 132 degrees

If this answer is correct, please make me Brainliest!

6 0
3 years ago
Read 2 more answers
9. In the figure below, the area of Square 1 is
Alinara [238K]

Answer:

25 cm^2

Step-by-step explanation:

The side length of square 1 is sqrt(169) = 13

The side length of square 2 is 48/4 = 12

From the Pythagorean Triple 13 - 12 - 5, the side length of square 3 is 5

Finally, 5 * 5 is 25

7 0
3 years ago
For the following system, if you isolated x in the first equation to use the substitution method, what expression would you subs
alekssr [168]

Answer:

x=2y+6

Step-by-step explanation:

So we have the system:

-x+2y=-6\\3x+y=8

If we isolate the x-variable in the first equation:

-x+2y=-6

Subtract 2y from both sides:

-x=-6-2y

Divide both sides by -1:

x=2y+6

Therefore, we would substitute the above into the second equation:

3x+y=8\\3(2y+6)+y=8

The answer is 2y+6

Further notes:

To solve for the system, distribute:

6y+18+y=8

Simplify:

7y+18=8

Subtract:

7y=-10

Divide:

y=-10/7\approx-1.4286

Now, substitute this value back into the isolated equation:

x=2(-10/7)+6\\x=-20/7+42/7\\x=22/7\approx3.1429

3 0
3 years ago
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