Find the remainder of the division of
2 answers:
<h3>Answer: C) 77</h3>
Remainder theorem: If p(x) is divided by (x-k), then the remainder is p(k)
In our case, p(x) = x^3-5x^2-4x+7 and k = 7
p(x) = x^3-5x^2-4x+7
p(7) = (7)^3-5(7)^2-4(7)+7
p(7) = 77
The remainder is 77
Side note: The nonzero remainder means x-7 is not a factor of x^3-5x^2-4x+7.
You can also use polynomial long division (see figure 1) or synthetic division (see figure 2). The figures are attached in the image below.
You might be interested in
Answer:
Step-by-step explanation:
The unit vector for a nonzero vector, say u, in the direction of u is given by:
û = ---------------(i)
Where;
|u| = magnitude of vector u
From the question;
u = (4, -4)
First let's calculate the magnitude of u as follows;
|u| =
|u| =
|u| = =
Now, substitute u and |u| into equation (i) as follows;
û =
û =
û =
Therefore, the unit vector is