Is (x + 2) a factor of x + 6x2 + 3x – 10?
2 answers:
Answer:
Assuming that you actually mean that if is a factor of
, the answer is yes.
Step-by-step explanation:
We need to do long division of the polynomial to figure out if this is true. I would show it here, but it is extremely difficult to do so. (Maybe someone could help me.) When I factor it, it does not leave a remainder, so this is true.
Another way one could figure this out is by graphing the equation on your graphing calculator or on just a graphing website, lake Desmos. The screenshot below shows the graph.
The polynomial will have a factor of if the point
exists on the graph. The graph has the following three zeroes.
,
, and
As such, it has the three factors ,
, and
.
Since , it is a factor of the polynomial.
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We cannot agree with Danika. Why? Well, The reasoning is given as follows:
Two functions are inverses of each other if and only if it is true that the composition function is given by:
Everything is ok up to this point, right?. But let's prove that this is not fulfilled for these functions, then:
<span>
As you can see we did not obtain the function that matches the definition of </span>inverse functions. For that reason <em>we can't agree with Danika</em>.
Two functions are inverses of each other if and only if it is true that the composition function is given by:
Everything is ok up to this point, right?. But let's prove that this is not fulfilled for these functions, then:
<span>
As you can see we did not obtain the function that matches the definition of </span>inverse functions. For that reason <em>we can't agree with Danika</em>.