Question

Determine which of the given numbers are roots of the polynomial f(x)= 6x^2+x-1

Answer 1

a. 1/2, 1
b.-1/2,2
c. -1/2
d. 1
i know its not B

Answer 2

Just plug them in and try.

Answer 3

6x^2+x-1 = 0
Let's try -1/2
6(-1/2)^2-1.5 = 0
6(1/4) - 1.5 = 0
1.5 - 1.5 = 0.
That means it is a solution.

Answer 4

-1/2 - 1 = - 1.5, by the way.

Answer 5

0 = 0.

Answer 6

alright got it thanks

Answer 7

Sweet, great job.

Answer 8

\[6x^2+3x-2x-1=3x(2x+1)-1(2x+1)=(2x+1)(3x-1)\]
2x+1=0
x=-1/2
3x-1=0
3x=1
x=1/3
from here you can see your option.

Answer 9

u lost me

Answer 10

The polynomial had two solutions, but your question only gave one of them, which is why I only demonstrated one, whereas @sshayer did both.

Answer 11

ahh so it just gave me half an answer in the multiple choice?

Answer 12

Technically, yes, it did. But, you only need the one which had -1/2, so it was okay.