find zero of the polynomial g (x) = 3-6x
Answers
Answer:
Step-by-step explanation:
x
=
1
2
Explanation:
A theorem states that every polynomial of degree
n
as exactly
n
solutions in the complex field.
If you don't know what complex numbers are, you just have to know that, if you use real numbers, you will find no more than
n
solutions for a polynomial of degree
n
.
In this case, we have a polynomial of degree
1
, so it can only have one solution.
To find it, we need to find a value for
x
, say
x
0
, such that
g
(
x
0
)
=
0
Since
g
(
x
)
=
3
−
6
x
, we want to solve
3
−
6
x
=
0
If you add
6
x
to both sides, you will get
3
=
6
x
and dividing both sides by
6
you get
3
6
=
x
since
3
6
=
1
2
, the solution (or zero, or root) of this polynomial is
x
=
1
2
Answer link
Nam D.
Jun 15, 2018
x
=
1
2
Explanation:
Given:
3
−
6
x
=
0
.
Adding
6
x
to both sides yields:
3
−
6
x
+
6
x
=
6
x
3
=
6
x
Divide by
6
gets us
x
, which equals to:
3
6
=
x
x
=
1
2
x
=
1
2
Explanation:
A theorem states that every polynomial of degree
n
as exactly
n
solutions in the complex field.
If you don't know what complex numbers are, you just have to know that, if you use real numbers, you will find no more than
n
solutions for a polynomial of degree
n
.
In this case, we have a polynomial of degree
1
, so it can only have one solution.
To find it, we need to find a value for
x
, say
x
0
, such that
g
(
x
0
)
=
0
Since
g
(
x
)
=
3
−
6
x
, we want to solve
3
−
6
x
=
0
If you add
6
x
to both sides, you will get
3
=
6
x
and dividing both sides by
6
you get
3
6
=
x
since
3
6
=
1
2
, the solution (or zero, or root) of this polynomial is
x
=
1
2
Answer link
Nam D.
Jun 15, 2018
x
=
1
2
Explanation:
Given:
3
−
6
x
=
0
.
Adding
6
x
to both sides yields:
3
−
6
x
+
6
x
=
6
x
3
=
6
x
Divide by
6
gets us
x
, which equals to:
3
6
=
x
x
=
1
2
Answer:
g(1/2) = 0
Step-by-step explanation:
G(x) = 3-6x
3 = 6x
x = 6/3
x = 1/2