Decomposed into TWO simpler fractions

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The function f(x) = (-10x - 7) / (2x² - 17x + 21) can be decomposed into two simpler fractions: a/(2x - 3) and b/(x - 7). The specific values for the constants are A = 4 and B = -7. This decomposition utilizes the factors of the denominator, which are (2x - 3) and (x - 7).

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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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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.
 


thanks a bunch, after i knew that i was set

A= 4 B= -7
 

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