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Factor the trinomial 6x^{2} + 5x - 25. Which of the following is a factor?

Factor the trinomial 6x^{2} + 5x - 25. Which of the following is a factor?-example-1
User Emiguevara
by
3.1k points

2 Answers

20 votes
20 votes

Answer:

C. (3x - 5)

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!

User Matdumsa
by
2.6k points
12 votes
12 votes

Answer:

its (3x-5)

Explanation:

User Simone Nigro
by
2.8k points