−2−9x
4
−
5
x
Answer
Attempt 1 out of 2
The expression represents a
polynomial with
terms. The constant term is
, the leading term is
, and the leading coefficient is
.
The expression is:
(-2 - 9x) / 4 - (5/x)
This is a rational expression because it is a fraction with polynomials as the numerator and denominator.
The expression has three terms: -2, -9x, and -5/x.
The constant term is -2 because it is the term without any variables.
The leading term is -9x because it has the highest power of x.
The leading coefficient is -9 because it is the coefficient of the leading term.
To simplify the expression -2-9x/4 - 5/x, you can follow these steps:
Step 1: Simplify the numerator first.
-2 - 9x
Step 2: Simplify the denominator next.
4 - 5/x
Step 3: Combine the simplified numerator and denominator.
(-2 - 9x) / (4 - 5/x)
Let's simplify further:
Step 4: Distribute the negative sign to the numerator.
-2 - 9x / (4 - 5/x)
Step 5: Applying the distributive property, we have:
(-2/1 - 9x/1) / (4 - 5/x)
Step 6: Simplify both the numerator and denominator.
(-2 - 9x) / (4 - 5/x)
This is the simplified form of the expression -2-9x/4 - 5/x.
To simplify the expression −2−9x/4−5x, we can follow these steps:
Step 1: Combine like terms.
Since we have two terms with the variable x, we can combine them by adding their coefficients. The coefficients are -9 and -5.
-9x - 5x = -14x
Step 2: Divide the result by the denominator.
To divide -14x by 4, we simply divide the coefficient -14 by 4.
-14/4 = -7/2
Therefore, the simplified form of the expression −2−9x/4−5x is -7/2x.