There, we gave introduction to Quadratic polynomial, Quadratic Equation, Methods to solve the Quadratic Equations and about Method of Solving by Factoring.

That knowledge is a prerequisite here.

Here, we apply the Method to solve problems. Solved Examples and Exercise problems are given.

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Thus, Factoring of Quadratic Polynomial,2 - 5x - 18x^{2}, we get the Factors as (-9x + 2)(2x + 1).

-*-*-*-*-*-*

2 - 5x - 18x^{2} = 0 ⇒ (-9x + 2)(2x + 1) = 0 ⇒ (-9x + 2) = 0 or (2x + 1) = 0 (-9x + 2) = 0 ⇒ -9x = -2 ⇒ x = -2⁄-9 = 2⁄9 (2x + 1) = 0 ⇒ 2x = -1 ⇒ x = -1⁄2 Thus, x = 2⁄9, -1⁄2 are the two roots of the given Quadratic equation. Ans.

Get The Best Grades With the Least Amount of Effort : Solving Quadratic Equations by Factoring

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Exercise : Solving Quadratic Equations by Factoring

Solve the following problems on Solving Quadratic Equations by Factoring

Solve 8x^{2} + 25x + 18 = 0.

Solve 3 - 2x - 21x^{2} = 0.

For Answers See at the bottom of the Page.

NOTE: You may solve these problems of Exercise using Quadratic Formula, after learning it.

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