What is the complete factorization of the polynomial below x^3+x^2+4x+4?
2 answers:
Answer: Option 'B' is correct.
Step-by-step explanation:
Since we have given that
We need to given the complete factorization of the above expression.
So, First we factorise the above expression.
Since factorization of would contain complex number.
so, it becomes,
So, the complete factorisation would be (x+2i)(x-2i)(x+1).
Hence, Option 'B' is correct.
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Answer:
The range is the resulting y-values we get after substituting all the possible x-values.
For the given function :
<u>See the attached figure.</u>
The zeros of the denominator at x = 0
The domain is: (-∞,0)∪(0,∞)
<u>The range</u> of the function is the domain of the inverse function of f(x)
y = 3/(4x) - 4
y + 4 = 3/(4x)
4x = 3/(y+4)
The zeros of the inverse function:
4(y+4) = 0
y + 4 = 0
y = -4
∴ The range is (-∞,-4)∪(-4,∞)
So, the answer is {y | y > –4} ∪ {y | y < – 4}
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<u>Note</u>: If the given function is :
It will be first degree polynomial function.
Both of the domain and the range = all real numbers R
