A quadratic expression is one which is in the form:
[tex]ax^2 + bx + c[/tex]
A linear expression is one which is in the form:
ax + b
NOTE: a, b, c are real numbers
Using this as a guideline:
OPTION 1
[tex]f(x)= x^2 + 3x + 4[/tex]
This polynomial is quadratic
OPTION 2
g(x) = 9+7x
This polynomial is linear
OPTION 3
[tex]h(x)= x^{-2} -36[/tex]
This polynomial is neither quadratic nor linear
OPTION 4
P(x)= 4x
This polynomial is linear
OPTION 5
[tex]R(x)=x^2+3[/tex]
This polynomial is quadratic
OPTION 6
[tex]C(x)= 1500+14x[/tex]
This polynomial is linear