![]() Now we have to divide the two factors +6 and +9 by the coefficient of x 2, that is 2. So, m ultiply the coefficient of x 2 and the constant term "+27".ĭecompose +54 into two factors such that the product of two factors is equal to +54 and the addition of two factors is equal to the coefficient of x, that is +15. In the given quadratic equation, the coefficient of x 2 is not 1. In the given quadratic equation, the coefficient of x 2 is 1.ĭecompose the constant term +14 into two factors such that the product of the two factors is equal to +14 and the addition of two factors is equal to the coefficient of x, that is +9.įactor the given quadratic equation using +2 and +7 and solve for x.ĭecompose the constant term +14 into two factors such that the product of the two factors is equal to +14 and the addition of two factors is equal to the coefficient of x, that is -9.įactor the given quadratic equation using -2 and -7 and solve for x.ĭecompose the constant term -15 into two factors such that the product of the two factors is equal to -15 and the addition of two factors is equal to the coefficient of x, that is +2.įactor the given quadratic equation using +5 and -3 and solve for x.ĭecompose the constant term -15 into two factors such that the product of the two factors is equal to -15 and the addition of two factors is equal to the coefficient of x, that is -2.įactor the given quadratic equation using +3 and -5 and solve for x. (iv) Write the remaining number along with x (This is explained in the following example). (iii) Divide the two factors by the coefficient of x 2 and simplify as much as possible. ![]() (ii) The product of the two factors must be equal to "ac" and the addition of two factors must be equal to the coefficient of x, that is "b". ![]() Solving factored quadratic equations Suppose we are asked to solve the quadratic equation ( x 1) ( x + 3) 0. (i) In a quadratic equation in the form ax 2 + bx + c = 0, if the leading coefficient is not 1, we have to multiply the coefficient of x 2 and the constant term. how to solve factored equations like ( x 1) ( x + 3) 0 and how to use factorization methods in order to bring other equations ( like x 2 3 x 10 0) to a factored form and solve them. Solving Quadratic Equations by Factoring when Leading Coefficient is not 1 - Procedure Positive sign for smaller factor and negative sign for larger factor.
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