SOLUTION: The curve y=ax^3+2x^2+a^2x+b has a minimum point at (-1,0). Find a and b. But i found the answer for a is 1 and -4 but the answer for a is -4 only. Why?

SOLUTION: The curve y=ax^3+2x^2+a^2x+b has a minimum point at (-1,0). Find a and b. But i found the answer for a is 1 and -4 but the answer for a is -4 only. Why?

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Question 1044058: The curve y=ax^3+2x^2+a^2x+b has a minimum point at (-1,0). Find a and b.
But i found the answer for a is 1 and -4 but the answer for a is -4 only. Why?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Question posted was https://www.algebra.com/algebra/homework/playground/test.faq.question.1044048.html.

The equation of the system which has only a but not b, is factorable.

Two possible values for "a", but each one gives a different meaning to the original equation of y=a^3+2x^2+a^2x+b. This could affect where the minimum point actually will be.
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