This method is similar to grouping to solve quadratic Equations, with a leading coefficient equal to 1. x 1 : 4 x = 0 x 1 = 0 x 2 : 3 x + 2 = 0 x 2 = - 2 3įactoring by taking out Common Factors can also be used. 4 x ( 3 x ) + 4 x ( 2 ) = 4 x ( 3 x + 2 ) = 0 Step 5 (solving the quadratic equation): Equate the factored expression to 0 and solve for the x-intercepts. An equation containing a second-degree polynomial is called a quadratic equation. 2 Step 3: Having rewritten your terms, rewrite your quadratic equation in the following form: a b + a c = 0 12 x 2 + 8 x = 4 x ( 3 x ) + 4 x ( 2 ) = 0 Step 4: Apply the law of distributive property and factor out your greatest common factor. Solving Quadratic Equations by Factoring. You can determine the other factor by dividing your term by your GCF. The above zero factor property is the key to. But no need to worry, we include more complex examples in the next section. In addition, we will revisit function notation and apply the techniques in this section to quadratic functions. We simply must determine the values of r1 r1 and r2 r2. Set each factor to zero (Remember: a product of factors is zero if and only if one or more of the factors is zero). Transform the equation using standard form in which one side is zero. Step 2: Write out each term as a product of the greatest common factor and another factor, i.e. In these cases, solving quadratic equations by factoring is a bit simpler because we know factored form, y (x-r1) (x-r2) y (xr1)(xr2), will also have no coefficients in front of x x. To solve an quadratic equation using factoring : 1 1.
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