Question

The polynomial given below has__ roots(s).
3x^2+4x+3
A. one negative and one positive
B. two negative
C. two complex
D. two positive

Answer 1

Do you know the quadratic formula?

Answer 2

yes

Answer 3

Do you know the discriminant of the quadratic formula? It's the radicand of the quadratic formula.

Answer 4

nope

Answer 5

The discriminant is the part: \(b^2 - 4ac\)
Plug in the numbers into the discriminant.
Then if the discriminant:
1. = 0, there is one real solution.
2. < 0, there are two complex solutions
3. > 0, there are two different real solutions

Answer 6

i got 20

Answer 7

\(3x^2+4x+3= 0\)

compare with

\(ax^2 + bx + c = 0 \)

a = 3, b = 4, c = 3

\(b^2 - 4ac = 4^2 - 4(3)(3) = 16 - 36 = -20 \)

The discriminant is -20, which is negative, or less than zero.
What can you conclude about the roots of the polynomial?

Answer 8

B

Answer 9

Read again what I wrote above. I copied it below to make it easier for you to find it.
Your discriminant is -20, a negative number.

Then if the discriminant:
1. = 0, there is one real solution.
\(\color{red}{\bf{2. < 0, there~ are~ two~ complex~ solutions}}\)
3. > 0, there are two different real solutions

Answer 10

thanks bratha

Answer 11

Answer is C.
Wlcm.