Grade 12 Math Homework Need Help 10 Points Best Answer?

Im studying for my test tomorrow on Polynomials, and the practice sheet gives me the polynomial with the points (1,0), (2,10), (3, 42), (4,108) (5, 220), (6, 390).

What is the equation? What is the equation in factored form? And how did you get it?

2 Answers

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  • 9 years ago

    Substitute (1, 0).

    a(1)^5 + b(1^4) + c(1^3)+d(1^2)+e(1)+f= 0

    a +b + c+d+e+f = 0                  [1]

    Substitute (2, 10).

    a(2)^5 + b(2)^4 + c(2)^3+d^(2)^2+e(2)+f = 10

    32a+16b+8c+4d+2e+f=10                     [2]

    Substitute (3, 42).

    a(3)^5 + b(3)^4 + c(3)^3+d^(3)^2+e(3)+f = 42

    243a+81b+27c+9d+3e+f=42

    Substitute (4, 108).

    a(4)^5 + b(4)^4 + c(4)^3+d^(4)^2+e(4)+f =108

    1024a+256b+64c+16d+4d+f=108

    Substitute (5, 220).

    a(5)^5 + b(5)^4 + c(5)^3+d^(5)^2+e(5)+f =220

    3125a+625b+125c+25d+5e+f=220

    Substitute (6, 390).

    a(6)^5 + b(6)^4 + c(6)^3+d^(6)^2+e(6)+f =390

    7776a+1296b+216c+36d+6e+f=390

    using matrix you get

    a=0

    b=0

    c=2

    d=-1

    e=-1

    f=0

    0(x)^5 + 0(x^4) + 2(x^3)+-1(x^2)+-1(x)+0= y

    2x^3-x^2-x=y

    x(x-1)(2x+1)=y

    Source(s): PoPe
  • Erika
    Lv 4
    4 years ago

    Its frustrating to tell if the denominators are (t + 2), (t + a million), and (40-one - 2t). i'm guessing they are. substitute 20 for t interior the equations. a) A(20) = sixteen.36 b) B(20) = 27.27 c) C(20) = 50 So the college might would desire to be in section C.

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