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snsdfb

  • 2 years ago

factor each polynomial completely. 3x^2+ 30x+ 75

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  1. kumar2006
    • 2 years ago
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    3x^2+2250x

  2. mercedesbenzz
    • 2 years ago
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    3(x+5)(x+5)

  3. Laura*
    • 2 years ago
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    Hey guys, please explain how you got here to help snsdfb understand the process. Thanks!

  4. mercedesbenzz
    • 2 years ago
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    each term in the trinomial is factorable by 3, so pull out the 3.

  5. mercedesbenzz
    • 2 years ago
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    once you do that youll have 3(x^2+10x+25)

  6. mercedesbenzz
    • 2 years ago
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    so to factor that, find two terms that will multiple to 25, but add to 10, which is 5.

  7. mercedesbenzz
    • 2 years ago
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    so youll have 3(x+5)(x+5). to check your work, simply multiple the parenthesis and then distribute the 3

  8. snsdfb
    • 2 years ago
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    thank you can you explain how to factor 5m^2- 20n^2?

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

  10. mercedesbenzz
    • 2 years ago
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    since you have more than one variable you cannot factor any further than that.

  11. snsdfb
    • 2 years ago
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    okay got it. how about 2k^3-36k^2+162k?

  12. mercedesbenzz
    • 2 years ago
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    each term is divisible by 2, so divide each term by 2 and youll get 2(k^3-18k^2+81)

  13. mercedesbenzz
    • 2 years ago
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    x is also a common factor, so take out an x from each term

  14. mercedesbenzz
    • 2 years ago
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    so youll have 2k(K^2-18k+81)

  15. mercedesbenzz
    • 2 years ago
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    so now like before find two terms that multiply to positive 81, but add to negative 18, which is -9

  16. mercedesbenzz
    • 2 years ago
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    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

  17. snsdfb
    • 2 years ago
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    thank you. 12x^3-20x^2+30x-50?

  18. mercedesbenzz
    • 2 years ago
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    pull out a 2x from each term: 2x(6x^2+15x-25)

  19. mercedesbenzz
    • 2 years ago
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    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)

  20. snsdfb
    • 2 years ago
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    i need to factor the polynomial

  21. mercedesbenzz
    • 2 years ago
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    once you plug in all the values your answer will be -15+/--5root33 all over 12

  22. mercedesbenzz
    • 2 years ago
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    that polynomial is not factorable.

  23. snsdfb
    • 2 years ago
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    okay

  24. snsdfb
    • 2 years ago
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    factor the polynomial. 6x^2-2x-20

  25. mercedesbenzz
    • 2 years ago
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    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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