Factor. 3x^3 - 5x^2 + 12x - 20 ______

Identify Common Factor: Look for a common factor in all terms. Check if there is a greatest common factor (GCF) that can be factored out from all terms of the polynomial 3x^3 - 5x^2 + 12x - 20. The terms do not share a common factor other than 1.Group Terms: Group terms to facilitate factoring by grouping. Group the terms into two pairs: (3x^3 - 5x^2) and (12x - 20).Factor Out GCF: Factor out the GCF from each group. From the first group (3x^3 - 5x^2), factor out x^2, which gives x^2(3x - 5). From the second group (12x - 20), factor out 4, which gives 4(3x - 5).Write Factored Form: Write the factored form of the polynomial. Both groups now have a common factor of (3x - 5). Factor out (3x - 5) from x^2(3x - 5) + 4(3x - 5). The factored form is (3x - 5)(x^2 + 4).

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Q. Factor.

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3x^3 - 5x^2 + 12x - 20

Identify Common Factor: Look for a common factor in all terms. $\newline$ Check if there is a greatest common factor (GCF) that can be factored out from all terms of the polynomial $3x^3 - 5x^2 + 12x - 20$ . $\newline$ The terms do not share a common factor other than $1$ .
Group Terms: Group terms to facilitate factoring by grouping. $\newline$ Group the terms into two pairs: $(3x^3 - 5x^2)$ and $(12x - 20)$ .
Factor Out GCF: Factor out the GCF from each group. $\newline$ From the first group $3x^3 - 5x^2$ , factor out $x^2$ , which gives $x^2(3x - 5)$ . $\newline$ From the second group $12x - 20$ , factor out $4$ , which gives $4(3x - 5)$ .
Write Factored Form: Write the factored form of the polynomial. $\newline$ Both groups now have a common factor of $(3x - 5)$ . $\newline$ Factor out $(3x - 5)$ from $x^2(3x - 5) + 4(3x - 5)$ . $\newline$ The factored form is $(3x - 5)(x^2 + 4)$ .