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20 August, 20:23

Factor the polynomial t2+8t

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  1. 21 August, 00:03
    0
    Two solutions were found : t = 8 t = 0

    Reformatting the input:

    Changes made to your input should not affect the solution:

    (1) : "t2" was replaced by "t^2".

    Step by step solution : Skip Ad

    Step 1 : Step 2 : Pulling out like terms:

    2.1 Pull out like factors:

    t2 - 8t = t • (t - 8)

    Equation at the end of step 2 : t • (t - 8) = 0 Step 3 : Theory - Roots of a product:

    3.1 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:

    3.2 Solve : t = 0

    Solution is t = 0

    Solving a Single Variable Equation:

    3.3 Solve : t-8 = 0

    Add 8 to both sides of the equation:

    t = 8

    Two solutions were found : t = 8 t = 0
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