Final answer:To factor the polynomial 20x² + 25x - 12x - 15 by grouping, rearrange the terms into groups with common factors, pull out the greatest common factor from each group, and write the polynomial as a product of binomials. The solution is(5x – 3)(4x + 5).Explanation:To beginfactoring the polynomial20x2 + 25x – 12x – 15 by grouping, start by rearranging the terms to group those with common factors together. So, rewrite the polynomial as (20x2 – 12x) + (25x – 15).The next step is to factor theGreatest Common Factor (GCF)from each group. In the first group, (20x2 – 12x), the common factor is 4x, so factor that out to get 4x(5x – 3). In the second group, (25x – 15), the common factor is 5, so factor that out to get 5(5x – 3).At this point, you can see that (5x - 3) is a common factor in both groups. So, the polynomial can be written as a product of binomials: (5x – 3)(4x + 5).In conclusion, the factored form of the polynomial 20x2 + 25x – 12x – 15 by grouping is (5x – 3)(4x + 5).Learn more about Factoring Polynomials here:brainly.com/question/28315959#SPJ1...

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