Solve 2x3 + x2 - 15x completely by factoring.
2 answers:
Answer:
The solutions are 0 , 5/2 and -3
Explanation:
The given expression is:
2x³ + x² - 15x
We can note that we can take x as a common factor from all terms. This will give us:
x(2x²+x-15)
Now, the expression 2x² + x - 15 is a second degree polynomial that can be factored using the quadratic formula shown in the attached image.
In the given expression:
a = 2
b = 1
c = -15
Substituting with the values of a, b and c in the formula, we would find that
2x² + x - 15 can be factored as (2x-5)(x+3)
Based on the above, the factored form of the given expression is:
x(2x-5)(x+3)
Now, to find the solutions means to find the values of x that would make the expression equal to zero.
This means that:
x(2x-5)(x+3) = 0
either x = 0
or 2x-5=0 .............> 2x = 5 ...........> x = 5/2
or x+3=0 ............> x = -3
Based on the above, the solutions of the system are:
0 , 5/2 and -3
Hope this helps :)
The solutions are 0 , 5/2 and -3
Explanation:
The given expression is:
2x³ + x² - 15x
We can note that we can take x as a common factor from all terms. This will give us:
x(2x²+x-15)
Now, the expression 2x² + x - 15 is a second degree polynomial that can be factored using the quadratic formula shown in the attached image.
In the given expression:
a = 2
b = 1
c = -15
Substituting with the values of a, b and c in the formula, we would find that
2x² + x - 15 can be factored as (2x-5)(x+3)
Based on the above, the factored form of the given expression is:
x(2x-5)(x+3)
Now, to find the solutions means to find the values of x that would make the expression equal to zero.
This means that:
x(2x-5)(x+3) = 0
either x = 0
or 2x-5=0 .............> 2x = 5 ...........> x = 5/2
or x+3=0 ............> x = -3
Based on the above, the solutions of the system are:
0 , 5/2 and -3
Hope this helps :)
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Answer: B. 5/13
This is the same as writing
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Reason:
We have two given sides of this right triangle. Use the pythagorean theorem to find the missing side.
a = 5 and b = 12 are the two known legs; c is the unknown hypotenuse
The hypotenuse is exactly 13 units long. This is a 5-12-13 right triangle.
Now we can compute sine of theta
This points us to choice B as the final answer.
----------------
Extra Info (optional)
- 5/12 is the value of tan(theta) since it's opposite/adjacent
- 12/5 is the value of cot(theta), the reciprocal of tangent
- 12/13 is the value of cos(theta), because cos = adjacent/hypotenuse
Answer:
They will reach after 26 hours i.e tomorrow noon
Step-by-step explanation:
Start time = 10 a.m
Starting point marker = 2 mile
End point = 80 miles
Distance to be traveled = 80 - 2 = 78 miles
Average speed = 3 miles per hour
Now,
Time =
or
Time =
or
Time = 26 hours
Therefore,
They will reach after 26 hours i.e tomorrow noon