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Sagot :
The factorized form of the polynomial 6x³ – 12x² + 7x – 14 is (6x²+7)(x–2).
What is a factor?
A factor of n is a number which when multiplied by another number gives us the number n.
In order to factorize the polynomial 6x³ – 12x² + 7x – 14, we need to take the common terms out of the given polynomial, therefore, the polynomial can be factorized as,
[tex]6x^3-12x^2+7x - 14 \\\\[/tex]
Taking the common term 6x² out from the first two terms, and then 7 from the next two terms, therefore, the polynomial can be written as
[tex]6x^3-12x^2+7x - 14 \\\\= 6x^2(x-2)+7(x-2)\\\\=(6x^2 +7)(x-2)[/tex]
Hence, the factorized form of the polynomial 6x³ – 12x² + 7x – 14 is (6x²+7)(x–2).
Learn more about Factors:
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