Answer:
- Factors are: (5x - 3) and (6x + 5),
- Roots are: x = 3/5 and x = - 5/6.
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It is assumed you need to find the factors or roots of the quadratic trinomial.
Factorize it as follows:
- 30x² + 7x - 15 =
- 30x² + 25x - 18x - 15 =
- 5x(6x + 5) - 3(6x + 5) =
- (5x - 3)(6x + 5)
The roots are:
- 5x - 3 = 0 ⇒ 5x = 3 ⇒ x = 3/5
- 6x + 5 = 0 ⇒ 6x = - 5 ⇒ x = - 5/6