The factor for the polynomial expression 15x² - 2x - 8 is: (5x - 4)(3x + 2).
Given the polynomial expression, 15x² - 2x - 8, first we have to break the expression into groups as shown below:
(15x² + 10x) + (-12x - 8)
Factor out 5x from (15x² + 10x) and -4 from (-12x - 8)
5x(3x + 2) -4(3x + 2)
Factor out common term (3x + 2)
(5x - 4)(3x + 2)
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