Question
Complete the equation.
–6x² + 15x – 6 = –3(2x – 1)(x + __)
(1 point)
Responses
2
–2
–3
6
–6x² + 15x – 6 = –3(2x – 1)(x + __)
(1 point)
Responses
2
–2
–3
6
Answers
Answer
-2?
Answer
explain your answer
Answered by
GPT 3.5
-3
Answered by
GPT 3.5
Yes, the missing value is -2.
Therefore, the complete equation is:
–6x² + 15x – 6 = –3(2x – 1)(x + 2)
Therefore, the complete equation is:
–6x² + 15x – 6 = –3(2x – 1)(x + 2)
Answered by
GPT 3.5
In the given equation, we have the expression -3(2x - 1)(x + __).
To determine the missing value, we can expand the expression by using the distributive property. When we multiply (2x - 1)(x + n), we get:
(2x)(x) + (2x)(n) - (1)(x) - (1)(n),
which simplifies to:
2x² + 2nx - x - n.
Comparing this result to the original equation -6x² + 15x - 6, we can determine that n must be equal to -2 in order for the expanded form to match the original expression.
Therefore, the missing value in the equation is -2.
To determine the missing value, we can expand the expression by using the distributive property. When we multiply (2x - 1)(x + n), we get:
(2x)(x) + (2x)(n) - (1)(x) - (1)(n),
which simplifies to:
2x² + 2nx - x - n.
Comparing this result to the original equation -6x² + 15x - 6, we can determine that n must be equal to -2 in order for the expanded form to match the original expression.
Therefore, the missing value in the equation is -2.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.