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Algebra Factoring Calculator
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Algebra Factoring Calculator is an online tool to solve a quadratic equation. It makes calculation easy and fun. If any quadratic equation is given then it can easily find factors of that equation. Try our Algebra Factoring Calculator for free and get your problems solved instantly.
 

Steps for Algebra Factoring Calculator

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Step 1 :  Identify the values of a, b, and c; a is the coefficient of x^2, b is the coefficient of x, and c is the constant.

Step 2 :  Find the discriminant (D) = b^2 - 4ac.

Step 3 :  If the discriminant is positive(D > 0) , the expression has two real solutions given by.
x1 = (-b)+sqrt(D)/2a.
x2 = (-b)-sqrt(D)/2a.

Step 4 :  Factors are (x+x1)(x+x2).

Examples on Algebra Factoring Calculator

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  1. Algebraic Factor: x^2+5x+6.


    Step 1 :  In the given equation, a(coefficient of x^2)=1,b(coefficient of x)=5,c(constant)=6.

    Step 2 :  D= b^2 - 4ac.
    D=5^2 - 4(1)(6).
    D=25 - 24.
    D= 1.

    Step 3 :  Since D > 0, the expression has two real solutions given by.

    x1 = (-b)+sqrt(D)/2a.
    x1 = (-5)+sqrt(1)/2(1)= (-5+1)/2.
    x1 = -2.
    x2 = (-b)-sqrt(D)/2a.
    x2 = (-5)-sqrt(1)/2(1)= (-5-1)/2.
    x2 = -3.

    Step 4 :  Algebraic Factors are (x+2)(x+3).

    Answer  :  (x+2)(x+3).

  2. Algebraic Factor: x^2+3x-4.


    Step 1 :  In the above equation, a(coefficient of x^2)=1,b(coefficient of x)=3,c(constant)=-4.

    Step 2 :  D= b^2 - 4ac.
    D= 3^2 - 4(1)(-4).
    D= 9 - (-16).
    D= 25.

    Step 3 :  D > 0, the expression has two real solutions given by.

    x1 = (-b)+sqrt(D)/2a.
    x1 = (-3)+sqrt(25)/2(1) = (-3+5)/2.
    x1 = 1.
    x2 = (-b)-sqrt(D)/2a.
    x2 = (-3)-sqrt(25)/2(1) = (-3-5)/2..
    x2 = -4.

    Step 4 :  Algebraic Factors are (x-1)(x+4).

    Answer  :  (x-1)(x+4).

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