2.3
In this lesson we talked about dividing polynomials. We used long division and synthetic division.
Long Division
x^3-3x^2-x+1+(1/x+3)
x+3/x^4+0x^3-10x^2-2x+4
-x^4+3x^3
-3x^3-9x^2
-x^2-2x
-x^2-3x
x+4
-x+3
1
Synthetic Division
This can only be used when the equation is linear and the leading term has a coefficient of one.
3/ 1 0 -10 -2 4
-3 9 3 -3
1 -3 -1 1 /1
1x^3-3x^2-x+1+(1/x+3)
We also talked about the Rational Rood Theorem
f(x)=px^n+...+q
factors of p/factors of q
Our homework was assignment 3
2.3 - 1-8, 11, 28-36 even, 39,45,48,63,96,102,103(a-f)
RE: Rational Root Theorem
ReplyDeleteThe factors of p over the factors of q represent the only possible rational roots of a polynomial. That means those are the only numbers you should consider dividing by when using synthetic division.