Answer:
-123
Step-by-step explanation:
The remainder theorem says that when a polynomial is divided by a linear factor x - c (note the minus sign), the remainder is the value of the polynomial at x = c.
When a polynomial P(x) is divided by x - c, the remainder is P(c). In other words, to find the remainder, plug in c for x.
You're dividing by x + 4 which is the same thing as x - (-4) -- the role of c is being played by -4.
3(–4)^3 – (–4)^2 – 20(–4) + 5 = –123
Answer:
All real numbers greater than or equal to -3
Step-by-step explanation:
Notice for which values of the x-axis the function gives a well defined y-value (indicated by the trace of the curve in blue).
There is a solid dot at the point -3 for x and -2 for y, where the trace of the function begins. That means that the function is defined by f(-3) = -2.
and all x values to the right of -3 seem to also have a well defined y value f(x) that is represented by the blue curve.
Therefore, all x values starting at -3 (including it) and to the right (larger than -3) have well defined associated y values. Such constitutes the actual Domain of f(x).
#1 - 2/3
#2 - 1 1/3
#3 - 2/3
#4 - 1 1/2
A = LWH
/WH = L
Therefore L = A / WH