Question

Which of the following is a possible combination of the zeros for g(x) = 3x4 + 5x3 + 19x2 + 35x - 14
A.
0 positive real zeros
1 negative real zero
3 complex zeros
B.
1 positive real zeros
0 negative real zero
3 complex zeros
C.
1 positive real zeros
2 negative real zero
1 complex zeros
D.
1 positive real zeros
3 negative real zero
0 complex zeros

Answer 1

familiar with Descartes rule of signs ?

Answer 2

yes

Answer 3

what does it say

Answer 4

\[\large g(x) = 3x^4 + 5x^3 + 19x^2 + 35x - 14\]

Answer 5

it asks you to count number of sign changes in the expression right ?

Answer 6

start by counting the sign changes in g(x)

Answer 7

i got A is that right?

Answer 8

@ganeshie8

Answer 9

doesn't look right

Answer 10

number of complex zeroes must be even

Answer 11

ok i just redid it, my answer came to be c?

Answer 12

@ganeshie8

Answer 13

C has "1 complex zeroes"
1 is not even. so C is incorrect

Answer 14

C has "1 complex zeroes"
1 is not even. so C is not a possible combination

Answer 15

D?

Answer 16

d has to be the right one

Answer 17

Yes!

Answer 18

ok thanks