Question
Factor out the negative sign with the GCF.
negative 2 x cubed plus 6 x squared minus 10 x
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Part 1
negative 2 x cubed plus 6 x squared minus 10 xequals
enter your response here (Write your answer in factored form.)
negative 2 x cubed plus 6 x squared minus 10 x
Question content area bottom
Part 1
negative 2 x cubed plus 6 x squared minus 10 xequals
enter your response here (Write your answer in factored form.)
Answers
GPT-4o mini
To factor out the negative sign with the greatest common factor (GCF) from the expression \(-2x^3 + 6x^2 - 10x\), first, let's identify the GCF of the coefficients (-2, 6, -10):
1. The GCF of the coefficients is \(2\).
2. The lowest power of \(x\) in the expression is \(x^1\).
Thus, the overall GCF is \(-2x\). We can factor out \(-2x\) from each term in the expression:
\[
-2x^3 + 6x^2 - 10x = -2x(x^2 - 3x + 5)
\]
So, the expression factored out with the negative sign is:
\[
-2x(x^2 - 3x + 5)
\]
This is your final answer in factored form.
1. The GCF of the coefficients is \(2\).
2. The lowest power of \(x\) in the expression is \(x^1\).
Thus, the overall GCF is \(-2x\). We can factor out \(-2x\) from each term in the expression:
\[
-2x^3 + 6x^2 - 10x = -2x(x^2 - 3x + 5)
\]
So, the expression factored out with the negative sign is:
\[
-2x(x^2 - 3x + 5)
\]
This is your final answer in factored form.