Factor 60x2 – 155x + 100 completely. a. 5(4x + 5)(3x + 4) b. (20x – 25)(3x – 4) c. 5(4x – 5)(3x – 4) d. (4x – 5)(15x – 20)

Hey there! Thanks for asking your question here on .

First, we can factor a 5 out of each term in the trinomial. This leaves us with: 5(12x^2 - 31x + 20)

Second, we need to multiply 12 * 20 and find a factor pair of the product, 240, which equals -31. This factor pair would be -15 and -16. This now leaves us with: 5((12x^2 - 16)(-15x + 20))

Third, we need to simplify each binomial in parenthesis. By doing so, what is left inside of each parenthesis should be the same if this step is done correctly. This leaves us with: 5(4x(3x - 4)-5(3x - 4))

Fourth and finally, we construct our new factored trinomial! The outside number stays, as well as one of the inner parenthesis binomials. Use the terms you factored out of the parenthesis in step three to construct another

binomial. This leaves us with: 5(4x - 5)(3x - 4) and the correct answer is C.

Hope this helps! If there's anything else I can help you with, please let me know! :)

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