Duplicate Question
The question on this page has been marked as a duplicate question.
Original Question
dentify the multiplicities of the linear factors of h(x)=(x+4)(x−1)^2(x+3)^5.(1 point) Responses The multiplicity of (x+4) is 1...Question
Identify the multiplicities of the linear factors of h(x)=(x+4)(x−1)2(x+3)5
.(1 point)
Responses
The multiplicity of (x+4)
is 1, the multiplicity of (x−1)
is 2, and the multiplicity of (x+3)
is 5.
The multiplicity of left parenthesis x plus 4 right parenthesis is 1, the multiplicity of left parenthesis x minus 1 right parenthesis is 2, and the multiplicity of left parenthesis x plus 3 right parenthesis is 5.
The multiplicity of (x+4)
is 4, the multiplicity of (x−1)
is −1
, and the multiplicity of (x+3)
is 3.
The multiplicity of left parenthesis x plus 4 right parenthesis is 4, the multiplicity of left parenthesis x minus 1 right parenthesis is negative 1 , and the multiplicity of left parenthesis x plus 3 right parenthesis is 3.
The multiplicity of (x+4)
is −4
, the multiplicity of (x−1)
is 1, and the multiplicity of (x+3)
is −3
.
The multiplicity of left parenthesis x plus 4 right parenthesis is negative 4 , the multiplicity of left parenthesis x minus 1 right parenthesis is 1, and the multiplicity of left parenthesis x plus 3 right parenthesis is negative 3 .
The multiplicity of (x+4)
is 0, the multiplicity of (x−1)
is 2, and the multiplicity of (x+3)
is 5.
The multiplicity of left parenthesis x plus 4 right parenthesis is 0, the multiplicity of left parenthesis x minus 1 right parenthesis is 2, and the multiplicity of left parenthesis x plus 3 right parenthesis is 5.
Skip to navigation
.(1 point)
Responses
The multiplicity of (x+4)
is 1, the multiplicity of (x−1)
is 2, and the multiplicity of (x+3)
is 5.
The multiplicity of left parenthesis x plus 4 right parenthesis is 1, the multiplicity of left parenthesis x minus 1 right parenthesis is 2, and the multiplicity of left parenthesis x plus 3 right parenthesis is 5.
The multiplicity of (x+4)
is 4, the multiplicity of (x−1)
is −1
, and the multiplicity of (x+3)
is 3.
The multiplicity of left parenthesis x plus 4 right parenthesis is 4, the multiplicity of left parenthesis x minus 1 right parenthesis is negative 1 , and the multiplicity of left parenthesis x plus 3 right parenthesis is 3.
The multiplicity of (x+4)
is −4
, the multiplicity of (x−1)
is 1, and the multiplicity of (x+3)
is −3
.
The multiplicity of left parenthesis x plus 4 right parenthesis is negative 4 , the multiplicity of left parenthesis x minus 1 right parenthesis is 1, and the multiplicity of left parenthesis x plus 3 right parenthesis is negative 3 .
The multiplicity of (x+4)
is 0, the multiplicity of (x−1)
is 2, and the multiplicity of (x+3)
is 5.
The multiplicity of left parenthesis x plus 4 right parenthesis is 0, the multiplicity of left parenthesis x minus 1 right parenthesis is 2, and the multiplicity of left parenthesis x plus 3 right parenthesis is 5.
Skip to navigation
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To determine the multiplicities of the linear factors in the polynomial \( h(x) = (x+4)(x-1)^2(x+3)^5 \), we look at each factor and the exponent associated with it.
1. For the factor \( (x + 4) \): it appears as \( (x + 4)^1 \), so the multiplicity is 1.
2. For the factor \( (x - 1)^2 \): it is clearly raised to the power of 2, so the multiplicity is 2.
3. For the factor \( (x + 3)^5 \): it is raised to the power of 5, so the multiplicity is 5.
Therefore, the correct response is:
**The multiplicity of \( (x+4) \) is 1, the multiplicity of \( (x−1) \) is 2, and the multiplicity of \( (x+3) \) is 5.**
1. For the factor \( (x + 4) \): it appears as \( (x + 4)^1 \), so the multiplicity is 1.
2. For the factor \( (x - 1)^2 \): it is clearly raised to the power of 2, so the multiplicity is 2.
3. For the factor \( (x + 3)^5 \): it is raised to the power of 5, so the multiplicity is 5.
Therefore, the correct response is:
**The multiplicity of \( (x+4) \) is 1, the multiplicity of \( (x−1) \) is 2, and the multiplicity of \( (x+3) \) is 5.**
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.