Question

The polynomial 6x2 + 37x – 60 represents an integer. Which expressions represent integer factors of 6x2 + 37x – 60 for all values of x?

Answer 1

(3x-4)(2x+15)

Hope this helps.

Answer 2

Answer with explanation:

The Given Quadratic Polynomial which can be Broken into integer factors:

 $\rightarrow 6 x^2 + 37 x - 60\\\\ \text{Splitting the Middle term}}\\\\ \rightarrow 6 x^2 + 37 x - 60\\\\\rightarrow 6 x^2 + 45 x-8 x - 60\\\\ \rightarrow 3x \times (2 x+15)-4 (2 x +15)\\\\\rightarrow (3 x -4)(2 x+15)$

Factors of the above Expression are:

     = (3 x -4)(2 x+15)