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Math Help - help with exponents and polynomials

  1. #1
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    Question help with exponents and polynomials

    Hey there! these are some questions that I am having some trouble with. They are probably easy for most people, but I am aboslutely horrendous so any and all help would be excellent! Thank you!

    1) (3x - 5)^4
    2) (4x2y6z)^2 (-x5y7z8)^6
    3) 4x^4 - 4x^3 + 3x^2 - 5x +2 (divided by) 2x-3

    Thanks again!
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  2. #2
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    Quote Originally Posted by kushmonster View Post

    1) (3x - 5)^4
    Use the binomial theorem to expand this one.

    Here's a tute you can read.

    Exponents

    You may want to re-write the second question, it's a shambles!

    Quote Originally Posted by kushmonster View Post


    3) 4x^4 - 4x^3 + 3x^2 - 5x +2 (divided by) 2x-3

    Have you been taught polynomial long division?

    Read this Polynomial Long Division
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  3. #3
    A riddle wrapped in an enigma
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    Quote Originally Posted by kushmonster View Post
    Hey there! these are some questions that I am having some trouble with. They are probably easy for most people, but I am aboslutely horrendous so any and all help would be excellent! Thank you!

    1) (3x - 5)^4
    2) (4x2y6z)^2 (-x5y7z8)^6
    3) 4x^4 - 4x^3 + 3x^2 - 5x +2 (divided by) 2x-3

    Thanks again!
    Hi kushmonster,

    (1) (3x-5)^4

    Could be broken down into (3x-5)(3x-5)(3x-5)(3x-5). Then you can multiply 2 pieces at a time using the distributive property. Multiply the first two binomials , then the last two. Then use distribution to multiple the 2 trinomials together. There's also a binomial expansion you could use, but I don't know if you've been there yet.

    (9x^2-30x+25)(9x^2-30x+25)

    Can you finish the job?

    (2) (4x^2y^6z)^2(-x^5y^7z^8)^6

    Remember your rules! When taking a power to a power, you multiply exponents.

    (16x^4y^{12}z^2)(-x^{30}y^{42}z^{48})

    When multiplying bases, you add exponents. Now, can you finish?

    (3) Use synthetic or polynominial division as Pickslides suggested for this on.

    Good luck.
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  4. #4
    Junior Member SirOJ's Avatar
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    well I'm not really sure what you want to do with question (1), I presume multiply it...

    If so then (3x-5)^4 = (3x-5)(3x-5)(3x-5)(3x-5)
    = 3x(3x-5)-5(3x-5)(3x-5)(3x-5)
    = (9x^2 - 30x +25)(9x^2 - 30x +25)
    = 9x^2(9x^2 - 30x +25) -30x(9x^2 - 30x +25) +25(9x^2 - 30x +25)

    I take it you can finish it from here

    (2) Practically the same as Q1

    (3) This is straight forward long division, refer to your text book. It's quite easy really
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