
[SOLVED] Set of values?
How to find the set of values of P(x) = 3x³ + 29x² + 65x  25 given that (x+5) is a repeated factor and (3x  1) is the third factor and P(x) > 0? It seems like easy because the original question was about finding the factors and as you can see, I've found them so you guys don't need to waste time finding them. The thing I'm confused about now is how to get the set values? My answer was 5 < x < 1/3 but the answer they gave is x > 1/3.
P.s., if my answer is in the wrong section, please notify me as soon as possible but I'm sure its in the correct section because it does not involves differentiation and I've searched and found that many questions of set values are under precalculus.

Hi
Is your question to find the set of values of P(x) = 3x³ + 29x² + 65x  25 > 0 ?
As you said P(x) = (3x1)(x+5)² and (x+5)² > 0
Therefore P(x) > 0 for 3x1 > 0 or x > 1/3


Oh! Thanks. So, when two factors are repeated, they meet at the same point on the xaxis...I see...thanks again! Wow...you even showed how to test it...I've never thought of that lol. Thank you once again very much!