Factor each polynomial: (SHOW EACH NECESSARY STEP!)
25x^2 – 5x​

2 thoughts on “Factor each polynomial: (SHOW EACH NECESSARY STEP!)<br />25x^2 – 5x​”

1. Answer:

   Step by step solution :

   STEP

   1

   :

   Equation at the end of step 1

   52×2 – 5x = 0

   STEP

   2

   :

   STEP

   3

   :

   Pulling out like terms

   3.1 Pull out like factors :

   25×2 – 5x = 5x • (5x – 1)

   Equation at the end of step

   3

   :

   5x • (5x – 1) = 0

   STEP

   4

   :

   Theory – Roots of a product

   4.1 A product of several terms equals zero.

   When a product of two or more terms equals zero, then at least one of the terms must be zero.

   We shall now solve each term = 0 separately

   In other words, we are going to solve as many equations as there are terms in the product

   Any solution of term = 0 solves product = 0 as well.

   Solving a Single Variable Equation:

   4.2 Solve : 5x = 0

   Divide both sides of the equation by 5:

   x = 0

   Solving a Single Variable Equation:

   4.3 Solve : 5x-1 = 0

   Add 1 to both sides of the equation :

   5x = 1

   Divide both sides of the equation by 5:

   x = 1/5 = 0.200

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2. Answer:

   Make me as a Brainlist pls

   Step-by-step explanation:

   [tex] {25x}^{2} – 5x \\ = > 5x(5x – 1)[/tex]

   (or)

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