quadratics

Algebra with squares

Quadratics is the branch of algebra dealing with quadratic equations—those where the highest power of the unknown is two.

A quadratic equation takes the form ax² + bx + c = 0, solved by factoring, completing the square, or applying the quadratic formula.

She struggled with quadratics until the formula clicked.

The term also refers collectively to such equations: We're covering quadratics this semester.

solving

factoring

Breaking into multiplicative parts

discriminant · factorization · real roots · complex roots · trial and error

parabola

vertex

Point where edges converge

opens up · concave · convex · minimum · maximum · symmetry · graphing · x-intercept · y-intercept · turning point

polynomial

coefficient

Number multiplying a variable

degree · standard form · algebraic expression · monomial · like terms · expansion

applications

projectile motion

Parabolic path under gravity

profit maximization · physics · engineering · ballistics · bridge arches · satellite dishes · architecture

Categories
Opposites
polynomial degree

quadraticslinear equations

Algebraic statements without powers

linear functions · cubics · constants

mathematical complexity/linearity

quadraticslinear

Arranged in straight succession

exponential functions

Phrases
Family

quadratic

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