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2x^2 + 1

Definition

This term represents a polynomial expression involving the variable 'x'. It consists of two terms - one being 2 times x squared (2x^2) and another being just 1.

Analogy

Imagine you're at a carnival playing a game where you throw balls at targets. Each target has multiple rings, and hitting one particular ring gives double points compared to other rings. The expression 2x^2 + 1 is like the points you earn from hitting a target, where 'x' represents the ring you hit (squared), and '2x^2' gives you double points.

Related terms

Polynomial: An algebraic expression consisting of variables, coefficients, and exponents.

Coefficient: The number multiplied by a variable in a term of an algebraic expression.

Quadratic Function: A type of function with the highest power of the independent variable being 2.

"2x^2 + 1" appears in:

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AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.