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6. Determine the binomial that when multiplied by
(2x - 5), results in the product 6x² - 7x – 20.


Sagot :

Answer:

(3x + 4)

Step-by-step explanation:

[tex]required \: binomial \\ \\ = \frac{6 {x}^{2} - 7x - 20}{(2x - 5)} \\ \\ = \frac{6 {x}^{2} - 15x + 8x - 20}{(2x - 5)} \\ \\ = \frac{3x(2x - 5) + 4(2x - 5)}{(2x - 5)} \\ \\ = \frac{ \cancel{(2x - 5)}(3x + 4)}{ \cancel{(2x - 5)}} \\ \\ = (3x + 4)[/tex]