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3y^2-11y+6, please show how your work because I want to be able to know how to do it.

a) (3y - 2)(y - 3)
b) (3y - 3)(y - 2)
c) (3y + 2)(y - 3)
d) (3y - 2)(y - 6)

2 Answers

3 votes

Answer:

3y² - 11y + 6 = (3y - 2)(y - 3)

The correct answer is A.

Step-by-step explanation:

3y² - 11y + 6 = 3y² - 9y - 2y + 6

= 3y(y - 3) - 2(y - 3)

= (3y - 2)(y - 3)

User Matt Patenaude
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7.3k points
3 votes

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.

User Jayz
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