What is the factorization of 3×2 – 8x + 5?

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Question:

What is the factorization of 3×2 – 8x + 5?

(3x – 1)(x + 5)
(3x + 5)(x – 1)
(3x – 1)(x – 5)
(3x – 5)(x – 1)

Answer:

The factored form of the expression will be (3x-5)(x-3)

Quadratic function

Given the quadratic function 3×2 – 8x + 5

Factorizing the expression will give;

3×2 – 8x + 5

= 3x^2 – 3x – 5x  + 5

Factor out the common values

= 3x(x-3) – 5(x-3)

= (3x-5)(x-3)

Hence the factored form of the expression will be (3x-5)(x-3)

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