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Mathematics
Rosa Owens
27 February, 12:19
Factor Polynomial
3y^2+y-14
+5
Answers (
1
)
Darien Lin
27 February, 15:18
0
Factored Form: (y - 2) (3y + 7)
Step-by-step explanation:
1. Let us first write down the problem at hand: 3y^2 + y - 14
2. Now let us break this expression into groups:
3y^2 - 6y + 7y - 14 ⇒ (3y^2 - 6y) (7y - 14)
3. Factor 3y from 3y^2 - 6y:
3y^2 - 6y ⇒ 3y (y - 2)
4. Factor 7 from 7y - 14:
7y - 14 ⇒ 7 (y - 2)
5. Substitute Step #3, 4 ⇒ Step #2:
3y (y - 2) + 7 (y - 2)
6. Factor common term y - 2:
Answer: (y - 2) (3y + 7)
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