monomial
1 term
includes #s and variables
no number under square root
2(sqrt )324
162
first step in solving a synthetic division
write all the coefficients
(10x^2+3)-(2x+10)
10x^2+13
polynomial
more than one term
2(sqrt)453
226
second step of solving synthetic division?
write the constant of the diviser but change sign
(6x^2-x+3)-(5x^2-10x+1)
11x^2-11x+4
degree of polynomial
x-1(sqrt)x^2-13x+12
x-12
third step of solving synthetic division
multiply and add
(-4x^2+6)-(-9x^2-7x)
-13x^2-x
trinomial
3 terms
x-3(sqrt)x^2+7x-30
x+10
whats the fourth step of solving a synthetic division
last number is your remainder, add variable back to the rest of your numbers
(x^2-3x-3)+(2x^2+7x-2)
3x^2-4x-5
binomial
2 terms
-x+5(sqrt)x^2+3x-9
-x-8
what do you add as the coefficient if missing any items?
0
(4r^2-6r+2)-(-r^2+3r+5)
5r^2-9r-3