anonymous
  • anonymous
factor each polynomial completely. 3x^2+ 30x+ 75
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
3x^2+2250x
anonymous
  • anonymous
3(x+5)(x+5)
anonymous
  • anonymous
Hey guys, please explain how you got here to help snsdfb understand the process. Thanks!

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anonymous
  • anonymous
each term in the trinomial is factorable by 3, so pull out the 3.
anonymous
  • anonymous
once you do that youll have 3(x^2+10x+25)
anonymous
  • anonymous
so to factor that, find two terms that will multiple to 25, but add to 10, which is 5.
anonymous
  • anonymous
so youll have 3(x+5)(x+5). to check your work, simply multiple the parenthesis and then distribute the 3
anonymous
  • anonymous
thank you can you explain how to factor 5m^2- 20n^2?
anonymous
  • anonymous
both of those terms are divisible by 5. so pull out the 5 from each term. youll have 5(m^2 - 4n^2)
anonymous
  • anonymous
since you have more than one variable you cannot factor any further than that.
anonymous
  • anonymous
okay got it. how about 2k^3-36k^2+162k?
anonymous
  • anonymous
each term is divisible by 2, so divide each term by 2 and youll get 2(k^3-18k^2+81)
anonymous
  • anonymous
x is also a common factor, so take out an x from each term
anonymous
  • anonymous
so youll have 2k(K^2-18k+81)
anonymous
  • anonymous
so now like before find two terms that multiply to positive 81, but add to negative 18, which is -9
anonymous
  • anonymous
so your final answer would be 2k(k-9)(k-9). to check your answer simply multiply the parenthesis then distribute 2k to each term
anonymous
  • anonymous
thank you. 12x^3-20x^2+30x-50?
anonymous
  • anonymous
pull out a 2x from each term: 2x(6x^2+15x-25)
anonymous
  • anonymous
since you have a leading coefficient you can't accurately an answer that has 2 parenthesis. so you will have to plug in each value into the quadratic equation. the quadratic equation is [-b+/-(sqrt((b^2)-(4*a*c)))]/(2*a)
anonymous
  • anonymous
i need to factor the polynomial
anonymous
  • anonymous
once you plug in all the values your answer will be -15+/--5root33 all over 12
anonymous
  • anonymous
that polynomial is not factorable.
anonymous
  • anonymous
okay
anonymous
  • anonymous
factor the polynomial. 6x^2-2x-20
anonymous
  • anonymous
pull out the 2: 2(3x^2-x-10) using the 3 find two numbers that will multiply to -10 but add to -1: (x-2)(3x+5) im not here to do your math homework, if youre having trouble with the process of getting the answer just ask me question about that.

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