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Math Help - polynomials

  1. #1
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    polynomials

    1.(5x2)(2x3)
    2.(x+3)(x+2)
    3.(4x^2-4x-7)(x+3)
    4.(x+2)(x^3+3x^2+4x-17)
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  2. #2
    Senior Member euclid2's Avatar
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    Quote Originally Posted by william View Post
    1.(5x2)(2x3)
    2.(x+3)(x+2)
    3.(4x^2-4x-7)(x+3)
    4.(x+2)(x^3+3x^2+4x-17)
    1. -10x^5 because you multiply then add the exponents because the rule for multiplying exponents is to add them together
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  3. #3
    Senior Member euclid2's Avatar
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    Quote Originally Posted by william View Post
    1.(5x2)(2x3)
    2.(x+3)(x+2)
    3.(4x^2-4x-7)(x+3)
    4.(x+2)(x^3+3x^2+4x-17)
    2. use FOIL

    x^2+2x+3x+6
    x^2+5x+6
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  4. #4
    Senior Member euclid2's Avatar
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    Quote Originally Posted by william View Post
    1.(5x2)(2x3)
    2.(x+3)(x+2)
    3.(4x^2-4x-7)(x+3)
    4.(x+2)(x^3+3x^2+4x-17)
    3.4x^2(x)-4x(x)-7(x)+4x^2(3)-4x(3)-7(3)
    =4x^3-4x^2+12x^2-7x-12x-21
    =4x^3+8x^2-19x-21
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  5. #5
    Senior Member euclid2's Avatar
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    Quote Originally Posted by william View Post
    1.(5x2)(2x3)
    2.(x+3)(x+2)
    3.(4x^2-4x-7)(x+3)
    4.(x+2)(x^3+3x^2+4x-17)
    4.x^3+3x^2+4x-17
    x+2
    =x^4+5x^3+10x^2-9x-34
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  6. #6
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    thank you very much!
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