Question

A polynomial with degree n has at most n unique roots. If a+(square root)b is a root or polynomial, then __________
is also a root. If a + bi is a root of a polynomial, then ______ is also a root.

Answer 1

\[a-bi\] for the second one, but the first one is a copy and paste fail

Answer 2

Opps let me fix that.

Answer 3

that made it worse, too many question marks

Answer 4

\[a-\sqrt{b}\]

Answer 5

thank you. Could you help me on one more question?

Answer 6

a. The number of positive roots (or zeros) is ____________________ the

number of sign changes for the terms of a polynomial function _____.

b. The number of negative roots (or zeros) is ____________________ the

number of sign changes for the terms of a polynomial function _____.

c. In each case, if the number of roots is less than the number of sign changes,

then it differs by a multiple of _____.

Answer 7

k mr x
by whatever beans necessary

Answer 8

lolol

Answer 9

not sure how to answer the first one
it is the number of change in signs of the coefficients, or counting down by twosq

Answer 10

of \(f(x)\)
for the second , it is the number of change in signs of \(f(-x)\) again counting down by 2's

Answer 11

and the third one, is by multiples of 2's?

Answer 12

yes

Answer 13

a. The number of positive roots (or zeros) is * less than or equal to * the number of sign changes for the terms of a polynomial function * f(x) *

Answer 14

alright, thanks guys. I'll probably be back soon lol