Question

Identify if each polynomial is quadratic, linear, or neither option 1) f(x)= x^2+3x+4 option 2) g(x) = 9+7x option 3) h(x)= x^-2 -36 option 4) P(x)= 4x option 5) R(x)=x^2+3 option 6)C(x)= 1500+14x

Answer 1

A quadratic expression is one which is in the form:

`ax^2 + bx + c`

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

`f(x)= x^2 + 3x + 4`

This polynomial is quadratic

OPTION 2

g(x) = 9+7x

This polynomial is linear

OPTION 3

`h(x)= x^(-2) -36`

This polynomial is neither quadratic nor linear

OPTION 4

P(x)= 4x

This polynomial is linear

OPTION 5

`R(x)=x^2+3`

This polynomial is quadratic

OPTION 6

`C(x)= 1500+14x`

This polynomial is linear