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5 votes
Factor by grouping
3x^2-11x+10

User Jit
by
9.0k points

1 Answer

1 vote

Answer: (x - 2)(3x - 5)

Explanation:

I'm using the berry method to factor, so first, I multiply 3 times 10 to get 30. Now I have to figure out what two numbers, when multiplied together, yield 30 and when are added together, give me -11. Those two numbers are -6 and -5. The equation now becomes (3x -6)(3x -5). Reducing the first binomial: (3x - 6)/3 = (x - 2)

the solution is (x - 2)(3x - 5), and we can check this by multiplying it out, which gives us our starting number, meaning it's correct.

User Anilbey
by
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