Decomposed into TWO simpler fractions

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In summary, decomposing into two simpler fractions means breaking down a fraction into two smaller fractions for easier calculations and comparisons. This can be done by finding a common denominator and splitting the numerator, and there are various methods for doing so. Any fraction can be decomposed, but the simpler fractions may not always be unique.
  • #1
lucifer_x
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decomposed into TWO "simpler" fractions

how would this be decomposed into TWO "simpler" fractions, thanks

f(x) =


-10x - 7
2x2- 17x +21
 
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  • #2


2x2 - 17x +21 = (2x-3)(x-7)

The "simpler" fractions are a/(2x-3) and b/(x-7)

I'll let you figure out a and b.
 
  • #3


thanks a bunch, after i knew that i was set

A= 4 B= -7
 

1. What does it mean to "decompose into two simpler fractions"?

Decomposing into two simpler fractions means breaking down a fraction into two smaller fractions that are easier to work with and have simpler denominators.

2. How do you decompose a fraction into two simpler fractions?

To decompose a fraction into two simpler fractions, you need to find a common denominator for the two fractions and then split the numerator of the original fraction between the two fractions based on the common denominator.

3. Why is it useful to decompose fractions into simpler fractions?

Decomposing fractions into simpler fractions allows for easier calculations and comparisons between fractions. It also helps in reducing fractions to their simplest form.

4. Can any fraction be decomposed into two simpler fractions?

Yes, any fraction can be decomposed into two simpler fractions. However, the two simpler fractions may not always be unique as there are often multiple ways to decompose a fraction.

5. Is there a specific method for decomposing fractions into two simpler fractions?

Yes, there are various methods for decomposing fractions into two simpler fractions, including finding a common denominator, using equivalent fractions, and using the product of two fractions to create simpler fractions.

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