There, we explained a Five Step Method, with each step explained in detail.

That knowledge is a prerequisite here.

Example 1 :

Factorize 4 + x - 14x^{2}

Solution to Example 1 :

Let P = 4 + x - 14x^{2} = -14x^{2} + x + 4

In Factoring of Trinomials (Quadratics) , follow the five steps listed above.

Step 1: Coefficient of x^{2} x constant term = -14 x 4 = -56

Step 2: We have to express -56 as two factors whose sum = coefficient of x = 1; -56 = 8 x (-7); [8 + (-7) = 1]

Step 3: P = -14x^{2} + x + 4 = -14x^{2} + 8x - 7x + 4

Step 4: P = 2x(-7x + 4) + 1(-7x + 4)

Step 5: P = (-7x + 4)(2x + 1)

Thus, Applying the Method of Algebra Factoring of Quadratic Polynomial to 4 + x - 14x^{2},we get the Factors as (-7x + 4)(2x + 1) Ans.

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In Factoring of Trinomials (Quadratics), follow the five steps listed above.

Step 1: Coefficient of x^{2} x constant term = 1 x -42 = -42

Step 2: We have to express -42 as two factors whose sum = coefficient of x = 1 ; -42 = -6 x 7; (- 6 + 7 = 1)

Step 3: P = x^{2} + x - 42 = x^{2} + 7x - 6x - 42

Step 4: P = x(x + 7) - 6(x + 7)

Step 5: P = (x + 7)(x - 6)

Thus, Applying the Method of Algebra Factoring of Quadratic Polynomial to x^{2} + x - 42,we get the Factors as (x + 7)(x - 6) Ans.

Exercise on Factoring Trinomial

Problems on Factoring Trinomial :

Factorize 2 + x - 15x^{2}

Factorize x^{2} + 9x - 136

Factorize x^{2} + x - 30

Progressive Learning of Math : Factoring Trinomial

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