Jon asked in Education & ReferenceHomework Help · 9 years ago

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?

Relevance
• 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.