Question: In the polynomial 4x^3 - 2x^2 + x - 5, what is the coefficient of x^2?
Options:
4
-2
1
-5
Correct Answer: -2
Solution:
The coefficient of x^2 in the polynomial 4x^3 - 2x^2 + x - 5 is -2.
In the polynomial 4x^3 - 2x^2 + x - 5, what is the coefficient of x^2?
Practice Questions
Q1
In the polynomial 4x^3 - 2x^2 + x - 5, what is the coefficient of x^2?
4
-2
1
-5
Questions & Step-by-Step Solutions
In the polynomial 4x^3 - 2x^2 + x - 5, what is the coefficient of x^2?
Step 1: Identify the polynomial given in the question, which is 4x^3 - 2x^2 + x - 5.
Step 2: Look for the term that contains x^2 in the polynomial.
Step 3: The term with x^2 is -2x^2.
Step 4: The coefficient is the number in front of x^2, which is -2.
Step 5: Therefore, the coefficient of x^2 is -2.
Polynomial Coefficients – Understanding that the coefficient of a term in a polynomial is the numerical factor multiplying the variable raised to a power.
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