Answer :
To determine whether the statement "A quadratic polynomial has a degree of 2" is true or false, we need to understand what a quadratic polynomial is.
A quadratic polynomial is defined as a polynomial of the form [tex]\( ax^2 + bx + c \)[/tex], where:
- [tex]\( a \)[/tex], [tex]\( b \)[/tex], and [tex]\( c \)[/tex] are constants, with [tex]\( a \neq 0 \)[/tex].
- The highest power of the variable [tex]\( x \)[/tex] in this polynomial is 2.
The degree of a polynomial is defined as the highest power of the variable in the polynomial. For a quadratic polynomial, the highest power of [tex]\( x \)[/tex] is 2. Therefore, a quadratic polynomial indeed has a degree of 2.
Given this explanation, the correct answer to the question is:
- A. True
A quadratic polynomial is defined as a polynomial of the form [tex]\( ax^2 + bx + c \)[/tex], where:
- [tex]\( a \)[/tex], [tex]\( b \)[/tex], and [tex]\( c \)[/tex] are constants, with [tex]\( a \neq 0 \)[/tex].
- The highest power of the variable [tex]\( x \)[/tex] in this polynomial is 2.
The degree of a polynomial is defined as the highest power of the variable in the polynomial. For a quadratic polynomial, the highest power of [tex]\( x \)[/tex] is 2. Therefore, a quadratic polynomial indeed has a degree of 2.
Given this explanation, the correct answer to the question is:
- A. True
