Question

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

Answer 1

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

Step-by-step 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.