Answer:
- 13
Step-by-step explanation:
Substitute x = - 1 into f(x) to obtain the remainder on dividing by (x + 1)
f(- 1) = - 2(- 1)³ - 4(- 1)² + 3(- 1) - 8
= 2 - 4 - 3 - 8 = - 13
Thus the remainder on dividing f(x) by (x + 1) is - 13
Answer:
y = - 3x² - 24x - 60
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 4, - 12 ), thus
y = a(x + 4)² - 12
To calculate a substitute (- 7, - 39) into the equation
- 39 = a(- 7 + 4)² - 12 ( add 12 to both sides )
- 27 = 9a ( divide both sides by 9 )
- 3 = a
y = - 3(x + 4)² - 12 ← in vertex form
Expand (x + 4)²
y = - 3(x² + 8x + 16) - 12
= - 3x² - 24x - 48 - 12
y = - 3x² - 24x - 60 ← in standard form
= - 3(x²
Answer:
It can be an answer to many things.
Step-by-step explanation:
There needs to be some sort of picture or other item to explain what is going on.
Answer:
(5,-3)
Step-by-step explanation:
On the x-axis, go 5 points to the right and on the y-axis go 3 points down the the negative 3 and the point N crosses at (5,-3)
As we could "drag" these together, we could then do it the easy way.
56
+56
+56
-------
168
------------------------
Or we could also do the following:
56

3:
6

3= 18.
Carry the one.
5

3 = 15+1 (which was carried). = 16
(16+8) =
168