Solving Quadratic Equations by Factoring | MathHelp.com - Free Educational videos for Students in K-12 | Lumos Learning

Solving Quadratic Equations by Factoring | MathHelp.com - Free Educational videos for Students in k-12


Solving Quadratic Equations by Factoring | MathHelp.com - By MathHelp.com



Transcript
00:00 If you're asked to solve a quadratic equation by the
00:04 method of your choice , you should always check to
00:08 see if the quadratic factors before you try any other
00:13 method . In this case we have a try no
00:16 meal . That factors as the product of two Bino
00:22 meals in the first position for each binomial we'll use
00:27 our factors of 11 X squared which are 11 X
00:33 and X in the second position for each binomial Will
00:38 use factors of -8 . And the factors that we
00:43 choose our positive for and negative two Because if we
00:51 take the product of the outer terms which is negative
00:54 22 x plus the prior to the inner terms which
00:58 is positive for X , We end up with the
01:01 middle term in our original try no meal negative 18
01:06 x . If you need a review of this type
01:09 of factoring , Go Back to Unit three In the
01:13 Factoring Chapter . So we have 11 x plus four
01:18 times X -2 equals zero , which means that either
01:26 11 X plus four equals zero , or X -2
01:36 equals zero . So solving each equation from here on
01:43 the left , we subtract four from both sides to
01:46 get 11 x equals -4 , Divide both sides by
01:51 11 To get x equals negative 4 11th . And
01:57 on the right we add to to both sides To
02:01 get x equals two , So our solution is negative
02:08 4 11th 2 right .
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