Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Join our platform to get reliable answers to your questions from a knowledgeable community of experts. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
Let’s complete the following polynomial expression:
[tex]\[ x^2 + \frac{1}{2}x - 4 \][/tex]
### Step-by-Step Solution:
1. Identify the polynomial's general form.
The given expression [tex]\( x^2 + \frac{1}{2}x - 4 \)[/tex] is a quadratic polynomial of the form [tex]\( ax^2 + bx + c \)[/tex], where:
[tex]\[ a = 1, \quad b = \frac{1}{2}, \quad c = -4 \][/tex]
2. Verify by rewriting the polynomial.
To ensure clarity, let's rewrite the polynomial in its standard form:
[tex]\[ x^2 + 0.5x - 4 \][/tex]
3. Understanding the structure:
- The quadratic term is [tex]\( x^2 \)[/tex]
- The linear term is [tex]\( 0.5x \)[/tex]
- The constant term is [tex]\(-4\)[/tex]
This is the complete form of the quadratic polynomial. We have now verified the structure of the polynomial, and it is given that
[tex]\[ \boxed{x^2 + 0.5x - 4} \][/tex]
This completes interpreting the given polynomial and ensuring its correctness.
[tex]\[ x^2 + \frac{1}{2}x - 4 \][/tex]
### Step-by-Step Solution:
1. Identify the polynomial's general form.
The given expression [tex]\( x^2 + \frac{1}{2}x - 4 \)[/tex] is a quadratic polynomial of the form [tex]\( ax^2 + bx + c \)[/tex], where:
[tex]\[ a = 1, \quad b = \frac{1}{2}, \quad c = -4 \][/tex]
2. Verify by rewriting the polynomial.
To ensure clarity, let's rewrite the polynomial in its standard form:
[tex]\[ x^2 + 0.5x - 4 \][/tex]
3. Understanding the structure:
- The quadratic term is [tex]\( x^2 \)[/tex]
- The linear term is [tex]\( 0.5x \)[/tex]
- The constant term is [tex]\(-4\)[/tex]
This is the complete form of the quadratic polynomial. We have now verified the structure of the polynomial, and it is given that
[tex]\[ \boxed{x^2 + 0.5x - 4} \][/tex]
This completes interpreting the given polynomial and ensuring its correctness.
Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.