−
5
x
4
−1
Answer
Attempt 1 out of 2
The expression represents a blank polynomial with
terms. The constant term is
, the leading term is
, and the leading coefficient is
.
The expression represents a quadratic polynomial with 2 terms. The constant term is 4, the leading term is -5x^2, and the leading coefficient is -5.
To determine the polynomial that the given expression represents, let's break down the expression step-by-step:
Expression: (-5x^4) -1
Step 1: Let's arrange the expression in descending order of the powers of x:
-5x^4 - 1
Step 2: Now, let's identify the different terms in the expression:
The expression has two terms: -5x^4 and -1.
Step 3: Analyzing the first term:
-5x^4:
- Coefficient: -5
- Variable: x
- Exponent: 4
Step 4: Analyzing the second term:
-1:
- Constant term: -1
So, the blank polynomial represented by the given expression has two terms: -5x^4 and -1. The constant term is -1, the leading term is -5x^4, and the leading coefficient is -5.
To evaluate the expression:
−(5x^4)−1
1. Start by simplifying the expression within the parentheses:
−1
2. Next, multiply the value within the parentheses by the negative sign outside the parentheses:
−1 * −5x^4
3. Multiply the coefficients:
−1 * −5 = 5
4. Combine the variables with the same exponent:
5x^4
Therefore, the simplified expression is 5x^4.