Question: In a quadratic equation ax^2 + bx + c = 0, what does the term \'b\' represent?
Options:
The coefficient of x^2
The constant term
The coefficient of x
The product of the roots
Correct Answer: The coefficient of x
Solution:
\'b\' is the coefficient of the linear term x in the quadratic equation.
In a quadratic equation ax^2 + bx + c = 0, what does the term 'b' represent?
Practice Questions
Q1
In a quadratic equation ax^2 + bx + c = 0, what does the term 'b' represent?
The coefficient of x^2
The constant term
The coefficient of x
The product of the roots
Questions & Step-by-Step Solutions
In a quadratic equation ax^2 + bx + c = 0, what does the term 'b' represent?
Step 1: Understand that a quadratic equation is in the form ax^2 + bx + c = 0.
Step 2: Identify the parts of the equation: 'a' is the coefficient of x^2, 'b' is the coefficient of x, and 'c' is the constant term.
Step 3: Focus on the term 'b'. It is the number that is multiplied by the variable x.
Step 4: Recognize that 'b' affects the slope of the line when the quadratic equation is graphed.
Quadratic Equation Coefficients – In a quadratic equation of the form ax^2 + bx + c = 0, 'a' is the coefficient of x^2, 'b' is the coefficient of x, and 'c' is the constant term.
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