Question

Factor completely 2 ay 2 + 5ay - 3a O-a(2y - 1)(y - 3) O a(2y - 3)(y + 1) a(2y - 1)(y - 3) please and thank you​

Answer 1

a(2y - 1)(y + 3)

Explanation:

Factor the following:

`\longrightarrow` 2ay² + 5ay - 3a

Factor a out of 2ay² + 5ay - 3a:

`\longrightarrow` a(2y² + 5y - 3)

The coefficient of y² is 2 and the constant term is -3. The product of 2 and -3 is -6. The factors of -6 which sum to 5 are -1 and 6.

So,

`\longrightarrow` a(2y² + (6 - 1)y - 3)

`\longrightarrow` a(2y² + 6y - y - 3)

`\longrightarrow` a(2y(y + 3) - 1(y + 3))

Factor y + 3 from 2y(y + 3) - 1(y + 3):

`\longrightarrow` a(2y - 1)(y + 3)