Factor the trinomial 6x^{2} + 5x - 25. Which of the following is a factor?
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Answer:
C. (3x - 5)
Step-by-step explanation:
1. Find a solution pair that gives the sum of b (5):
-10 + 15 = 5
2. Break the expression into groups:
(6x² - 10x) + (15x - 25)
3. Factor out the common factor in each group:
2x(3x - 5) + 5(3x - 5)
4. Factor out the common pair (3x - 5) using the distributive property:
(3x - 5)(2x + 5)
hope this helps!