Question

Identify whether each polynomial is quadratic, lineal, or neither:

Option 1: f(x)=x^2+3x+4

__________


Option 2: g(x)=9+7x

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Option 3: h(x)=x^-2-36

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Option 4: P(x)=4x

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Option 5: R(x)= x^2+3

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Option 6: C(x)=1500+14x

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Answer 1

A polynomial is made up of terms.
A term is a single number or a number multiplied by one or more variables.
A polynomial can be a single term or a sum of terms.
In a polynomial, there is no division by variables.

Polynomials: Options 1, 2, 4, 5, 6
Not a Polynomial: Option 3

If the terms have at most a single variable, then if the highest exponent on a variable is a 2, then the polynomial is quadratic. If there is only a single variable with no exponent, then it is linear.

Option 1: quadratic
Option 2: linear
Option 3: not a polynomial
Option 4: linear
Option 5: quadratic
Option 6: linear