9.2.4.1

Represent relationships in various contexts using quadratic equations and inequalities. Solve quadratic equations and inequalities by appropriate methods including factoring, completing the square, graphing and the quadratic formula. Find non-real complex roots when they exist. Recognize that a particular solution may not be applicable in the original context. Know how to use calculators, graphing utilities or other technology to solve quadratic equations and inequalities.

Khan Academy Resources

Understanding the quadratic formulaSolving quadratics by completing the squareSolving quadratics by factoring reviewGraphing quadratics reviewQuadratic formula proof reviewCompleting the square reviewSolving simple quadratics reviewDiscriminant reviewSolving quadratics by taking square roots Quadratic formula reviewSolving quadratics by factoringQuadratic formulaQuadratics by factoring (intro)Quadratics by factoringQuadratics by taking square rootsQuadratic word problems (standard form)Solve equations by completing the squareNumber of solutions of quadratic equationsEquations & inequalities word problemsQuadratics by taking square roots (intro)Solve quadratic equations: complex solutionsQuadratics by taking square roots: with stepsQuadratics by taking square roots: strategyStrategy in solving quadraticsQuadratic equations word problem: triangle dimensionsQuadratic word problem: ballWorked example: completing the square (leading coefficient ≠ 1)Worked example: quadratic formula (negative coefficients)Solving quadratics by taking square rootsSolving quadratic equations: complex rootsCompleting the squareThe quadratic formulaProof of the quadratic formulaSolving quadratics by factoringQuadratic equations word problem: box dimensionsSolving quadratics by completing the square: no solutionWorked example: quadratic formula (example 2)Using the quadratic formula: number of solutionsFactoring polynomials using complex numbersSolve by completing the square: Non-integer solutionsSolve by completing the square: Integer solutionsQuadratics & the Fundamental Theorem of Algebra Strategy in solving quadratic equationsSolving quadratics by taking square roots examplesQuadratic inequality word problemSolving quadratics by taking square roots: with stepsSolving quadratics by factoring: leading coefficient ≠ 1Graphing quadratics: standard formComplex numbers & sum of squares factorizationWorked example: Rewriting & solving equations by completing the squareQuadratics by taking square roots: strategy

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