Final answer:
To factor the expression 3y^2-11y+6, we can use the distributive property to expand each answer choice and see which one matches the original expression. The correct factorization is (3y - 2)(y - 3).
Step-by-step explanation:
To factor the expression 3y^2-11y+6, we need to find two binomials that when multiplied together, give us the original expression. The correct factorization is (3y - 2)(y - 3).
We can check this by using the distributive property. When we multiply (3y - 2)(y - 3), we get 3y^2 - 11y + 6, which matches the original expression.