Factor. 3x^3 - 6x^2 - 10x + 20 ______

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Identify Common Factors: Look for common factors in pairs of terms. We will first look at the terms 3x^3 and -6x^2 to see if there is a common factor. We can factor out 3x^2 from both terms. 3x^3 - 6x^2 = 3x^2(x - 2)Factor Out Common Factors: Look for common factors in the remaining pair of terms. Now we will look at the terms -10x and +20 to see if there is a common factor. We can factor out -10 from both terms. -10x + 20 = -10(x - 2)Combine Factored Pairs: Combine the factored pairs. We have factored the polynomial into two pairs: 3x^2(x - 2) and -10(x - 2). We notice that both pairs have a common binomial factor of (x - 2). So, we can factor (x - 2) out of the entire expression. 3x^3 - 6x^2 - 10x + 20 = (x - 2)(3x^2 - 10)Check Quadratic Factor: Check if the quadratic factor can be factored further. We now have the expression (x - 2)(3x^2 - 10). We need to check if the quadratic 3x^2 - 10 can be factored further. Since 3x^2 - 10 does not have any common factors and it does not fit the form of a difference of squares or any other easily factorable form, it cannot be factored further.

Factor. $\newline$ $3x^3 - 6x^2 - 10x + 20$

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Factor.\newline3x3−6x2−10x+203x^3 - 6x^2 - 10x + 203x3−6x2−10x+20

Factor. $\newline$ $3x^3 - 6x^2 - 10x + 20$