Factor. 3y^3 - 15y^2 - 4y + 20 ______

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Factor out common factors: Factor out the greatest common factor from the first two terms and the last two terms separately. For the first two terms, 3y^3 and -15y^2, the greatest common factor is 3y^2. For the last two terms, -4y and +20, the greatest common factor is -4. So we have: 3y^3 - 15y^2 = 3y^2(y - 5) -4y + 20 = -4(y - 5)Rewrite using factored terms: Now, we rewrite the original polynomial using the factored terms from Step 1. The polynomial becomes: 3y^2(y - 5) - 4(y - 5)Factor out common binomial: Factor out the common binomial factor (y - 5) from both terms. We can see that (y - 5) is a common factor in both terms, so we factor it out: (3y^2 - 4)(y - 5)Check for further factoring: Check the factored form for any possible further factoring. The first term, 3y^2 - 4, is a difference of squares and can be factored further. The second term, y - 5, cannot be factored further. So we factor 3y^2 - 4 as (sqrt(3)y - 2)(sqrt(3)y + 2). However, this is incorrect because 3y^2 - 4 is not a difference of squares since 3 is not a perfect square.

Factor. $\newline$ $3y^3 - 15y^2 - 4y + 20$

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Factor.\newline3y3−15y2−4y+203y^3 - 15y^2 - 4y + 203y3−15y2−4y+20

Factor. $\newline$ $3y^3 - 15y^2 - 4y + 20$