Complete factorization of x^3+4x^2-20x-48
1 answer:
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Answer:
Step-by-step explanation:
Since we're dividing the polynomial by , we'll be using -1 to start the division.
Before setting the division up, let's list the coefficients of from descending powers and the constant.
The coefficient of is 3
Since we don't see an , the coefficient will be 0.
The coefficient of is 5.
Lastly, the constant, which is the term without the is -1.
Refer to the attached picture before continuing.
After referring to the picture, we now have the coefficients for the quotient.
The coefficient of is 3.
The coefficient of is -3.
The constant is 8.
Lastly, since the last number is not zero, it's the remainder just like regular division. This can be tricky to remember, but -9 is not the actual remainder.
The remainder is actually .
Now putting all the pieces together, we get:
This is a proportion problem that involves cross-multiplication
Set your problem up like so:
= 
Now cross multiply
2,000 x 3 = 6,000
now you're left with 5x = 6,000
Now divide by 5 on both sides
Answer is 1,200
Set your problem up like so:
Now cross multiply
2,000 x 3 = 6,000
now you're left with 5x = 6,000
Now divide by 5 on both sides
Answer is 1,200