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25 June, 00:00

The polynomial (x-2) is a factor of the polynomial 3x^2-8x+2

true or false

+2
Answers (1)
  1. 25 June, 01:46
    0
    Since P (2) ≠ 0 so polynomial (x-2) is not a factor of the polynomial 3x^2-8x+2

    Hence The statement is false.

    Step-by-step explanation:

    if x-2 is a factor then

    x-2=0

    x = 2

    Putting x = 2 in the given equation, we should get 0 as result if x-2 is a factor

    Given Polynomial: 3x^2-8x+2

    Put x = 2

    P (2) = 3 (2) ^2-8 (2) + 2

    P (2) = 3 (4) - 16 + 2

    P (2) = 12 - 16 + 2

    P (2) = 14-16

    P (2) = - 2

    Since P (2) ≠ 0 so polynomial (x-2) is not a factor of the polynomial 3x^2-8x+2

    Hence The statement is false.
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