Answer:
-1 / x + (x + 1) / (x² + 3)
Step-by-step explanation:
(x − 3) / (x (x² + 3))
There are two factors in the denominator, so split this into two fractions with unknown numerators:
A / x + (Bx + C) / (x² + 3)
Combine back into one fraction:
(A (x² + 3) + (Bx + C) x) / (x (x² + 3))
Now equate this numerator with the original:
A (x² + 3) + (Bx + C) x = x − 3
Ax² + 3A + Bx² + Cx = x − 3
(A + B) x² + Cx + 3A = x − 3
Match the coefficients:
A + B = 0
C = 1
3A = -3
Solve:
A = -1
B = 1
C = 1
Therefore, the partial fraction decomposition is:
-1 / x + (x + 1) / (x² + 3)
Here's a graph showing that the two are the same:
desmos.com/calculator/hrxfnijewh
is an irrational number ⇒ answer B
Step-by-step explanation:
Let us explain the meaning of:
- A rational number is a number that can be written as a fraction
- An irrational number is a number that cannot be expressed as a fraction
Examples:
Rational numbers : 10 ,
, 0.333
Irrational numbers : π , √8 , ∛25 , (2 + √5) , 
∵ 
∵ 3 is a rational number
∴
is a rational number
∵ 
∵ There is no square root of 8
∴
is an irrational number
∵ 0.3333 can be expressed as 
∴ 0.3333 is a rational number
∵
is a fraction
∵ All fractions are rational numbers
∴
is a rational number
is an irrational number
Learn more:
You can learn more about real numbers in brainly.com/question/4853862
#LearnwithBrainly
2(sv) is the answer for the question
Answer:
Two positive zeros, no negative zeros, two complex roots.
Step-by-step explanation:
The given function is 
According to the fundamental theorem of algebra, the function will have 4 roots.
The graph of the function intersects the positive axis at two points.
Hence the function has two positive zeros and no negative zeros.
The two remaining roots are imaginary. The function has two complex zeros.
See graph in attachment