To determine the constant term of the quadratic function [tex]\( f(x) = 8x^2 - 7x + 6 \)[/tex], you need to identify the term in the function that does not contain the variable [tex]\( x \)[/tex].
A quadratic function generally has the form [tex]\( ax^2 + bx + c \)[/tex], where:
- [tex]\( ax^2 \)[/tex] is the quadratic term,
- [tex]\( bx \)[/tex] is the linear term,
- [tex]\( c \)[/tex] is the constant term.
In the given function [tex]\( f(x) = 8x^2 - 7x + 6 \)[/tex]:
- The coefficient of [tex]\( x^2 \)[/tex] is 8, making [tex]\( 8x^2 \)[/tex] the quadratic term.
- The coefficient of [tex]\( x \)[/tex] is -7, making [tex]\( -7x \)[/tex] the linear term.
- The term without [tex]\( x \)[/tex] is 6, making 6 the constant term.
Therefore, the constant term of the function [tex]\( f(x) = 8x^2 - 7x + 6 \)[/tex] is [tex]\( 6 \)[/tex].
So, the correct answer is:
6
