You factorise the quadratic expression x²+ (a+b) x +ab by rewriting it as the product of two binomials (x+a) X (x+b). By letting (a+b)=c and (ab)=d, you can recognize the familiar form of the quadratic equation x²+ cx+d. Factoring is the process of reverse multiplicat...
Luke has taught high school algebra and geometry, college calculus, and has a master's degree in education.Cite this lesson Factoring is a method of solving quadratic equations in which the equation is expressed as a product of two or more factors. Learn how to solve a quadratic equation usi...
Factor the quadratic equation as you would any other trinomial expression. You need to create two simple factors that, when multiplied, equal the original expression. Keep in mind the order of operations for the factors to equal the trinomial is represented by the acronym, FOIL (First, Outside...
Do excercises Show all 2 exercises Factors I Factors II We do not have to graph our quadratic equations in order to solve them, instead we could use factoring and then apply the zero product property.If then either or or both.ExampleSolve the following equation by factoring:...
How to Complete the Square | Method & Examples 8:43 7:31 Next Lesson Completing the Square Practice Problems How to Solve a Quadratic Equation by Factoring 7:53 Quadratic Function | Formula, Equations & Examples 9:20 How to Solve Quadratics That Are Not in Standard Form 6:14 Pra...
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A mathematician at Carnegie Mellon University has developed an easier way to solve quadratic equations. Here's the secret.
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Note that there is a common factor, 1+3x. This expression can be rephrased to (2x^2 + 5x^7) (1 + 3x). There's your answer. Note that (2x^2 + 5x^7) (1 + 3x) can be factored further by factoring out an x^2 from the first binomial: x^2 (2 + 5x^5) (1 + 3x). ...
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