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

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

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Gabriella

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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