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3x^2+2250x

3(x+5)(x+5)

Hey guys, please explain how you got here to help snsdfb understand the process. Thanks!

each term in the trinomial is factorable by 3, so pull out the 3.

once you do that youll have 3(x^2+10x+25)

so to factor that, find two terms that will multiple to 25, but add to 10, which is 5.

thank you can you explain how to factor
5m^2- 20n^2?

both of those terms are divisible by 5. so pull out the 5 from each term. youll have 5(m^2 - 4n^2)

since you have more than one variable you cannot factor any further than that.

okay got it. how about 2k^3-36k^2+162k?

each term is divisible by 2, so divide each term by 2 and youll get 2(k^3-18k^2+81)

x is also a common factor, so take out an x from each term

so youll have 2k(K^2-18k+81)

so now like before find two terms that multiply to positive 81, but add to negative 18, which is -9

thank you. 12x^3-20x^2+30x-50?

pull out a 2x from each term: 2x(6x^2+15x-25)

i need to factor the polynomial

once you plug in all the values your answer will be -15+/--5root33 all over 12

that polynomial is not factorable.

okay

factor the polynomial.
6x^2-2x-20