Question: In the polynomial expression 4x^3 - 3x^2 + 2x - 1, which term is the constant term?
Options:
4x^3
-3x^2
2x
-1
Correct Answer: -1
Solution:
The constant term in a polynomial is the term that does not contain any variable, which in this case is -1.
In the polynomial expression 4x^3 - 3x^2 + 2x - 1, which term is the constant te
Practice Questions
Q1
In the polynomial expression 4x^3 - 3x^2 + 2x - 1, which term is the constant term?
4x^3
-3x^2
2x
-1
Questions & Step-by-Step Solutions
In the polynomial expression 4x^3 - 3x^2 + 2x - 1, which term is the constant term?
Step 1: Identify the polynomial expression given, which is 4x^3 - 3x^2 + 2x - 1.
Step 2: Look at each term in the expression: 4x^3, -3x^2, 2x, and -1.
Step 3: Determine which term does not have a variable (like x) in it.
Step 4: Notice that -1 is the only term that does not have a variable.
Step 5: Conclude that the constant term in the polynomial is -1.
Polynomial Terms – Understanding the different types of terms in a polynomial, including constant, linear, quadratic, and cubic terms.
Identifying Constant Terms – Recognizing that the constant term is the term without any variable, which remains unchanged regardless of the value of the variable.
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