Factor 12y^2 + 5y - 2 completely.
2 answers:
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Answer:
C. (4y - 1)(3y + 2).
Step-by-step explanation:
12y^2 + 5y - 2
Use the ac method.
a = 12 ( the leading coefficient) and c = -2 (the constant last term).
a * c = -24.
We need 2 numbers whose product is c (-2) and whose sum is +5 (the coefficient of y).
They are + 8 and -3, So we write the original expression as:
12y^2 - 3y + 8y - 2 Now we factor this by grouping:
= 3y(4y - 1) + 2(4y - 1) The 4y - 1 is common so:
= (4y - 1)(3y + 2).
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