Question

6. Determine the binomial that when multiplied by

(2x - 5), results in the product 6x² - 7x – 20.

Answer 1

(3x + 4)

Explanation:

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