Synthetic division yields
-3 | 1 5 4 -6
. | -3 -6 6
- - - - - - - - - - - - -
. | 1 2 -2 0
which translates to
with remainder 0. Now by the quadratic formula,
and so
The correct answer is C.
You can tell this by factoring the equation to get the zeros. To start, pull out the greatest common factor.
f(x) = x^4 + x^3 - 2x^2
Since each term has at least x^2, we can factor it out.
f(x) = x^2(x^2 + x - 2)
Now we can factor the inside by looking for factors of the constant, which is 2, that add up to the coefficient of x. 2 and -1 both add up to 1 and multiply to -2. So, we place these two numbers in parenthesis with an x.
f(x) = x^2(x + 2)(x - 1)
Now we can also separate the x^2 into 2 x's.
f(x) = (x)(x)(x + 2)(x - 1)
To find the zeros, we need to set them all equal to 0
x = 0
x = 0
x + 2 = 0
x = -2
x - 1 = 0
x = 1
Since there are two 0's, we know the graph just touches there. Since there are 1 of the other two numbers, we know that it crosses there.
38 meters long is the answer
Answer:
17°
Step-by-step explanation:
73°= EGB
EGB+ x° = 90°
so x° = 90°-73° =17°
Answer:
Correct option: A -> Horizontal or vertical reflection
Step-by-step explanation:
We can observe that the value of x in f(x) gives a value that is the same value we have in g(x) with the value -x.
That is, x = 1 in f(x) gives the same result as x = -1 in g(x)
So this means that these functions are a reflex of each other in relation to the y-axis, as the x values of one have the same result as (-x) values for the other one.
So the correct option is A: Horizontal or vertical reflection
(It is a horizontal reflection)
