Respuesta :

lulbbietrin
Take a quadratic equation in standard form:
If there exists a sum of two numbers that equal b, whose addends produce a product that equals c, you can rewrite the quadratic as a product of two binomials.

For example, take .
When thought through thoroughly, -5 has addends -2 and -3 that produce 6 when multiplied.
Thus, we can rewrite the quadratic as.

I hope this helps! You can ask for clarifications if needed. :)
abidemiokin

The steps are;

  • look for two numbers such that if added will give the coefficient of x and if multiplied will give the product of the constant and the coefficient of x²
  • Factor the common value from both brackets and get the required variable

Let us assume the quadratic equation x² - 2x + 1 = 0

To solve this by factoring;

Step 1: We will first look for two numbers such that if added will give the coefficient of x and if multiplied will give the product of the constant andthe coefficient of x²

For the given equation, the two values are -1 and -1

The quadratic equation becomes;

x² - 1x - 1x + 1 = 0

x² - x - x + 1 = 0

(x²-x)-1(x-1) = 0

Step  2: Factorize the common value from both brackets

x(x-1)-1(x-1) = 0

x-1 = 0 and x - 1 = 0

x = 1twice

The given steps are the ways you can solve quadratic equations in one variable using factoring method

​Learn more here: https://brainly.com/question/18388216

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