Explain the objective of having linear x term in given form


In form ax2 + bx + c
Explain the objective of having linear x term in form. Why do we require to have more than one x, is not one x2 term sufficient to explain something as quadtraic, whatrole (purpose) does linear x term plays in form, which make sit stanard form of quadratics?

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Mathematics: Explain the objective of having linear x term in given form
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