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-intercept: (0, 2.5)
x-intercept: (1.67, 0)
Step-by-step explanation:
Right now, you have 3x + 2y = 5. You want to change it into slope-intercept form to make the problem easier to solve.
2y = -3x + 5
y = -3/2x + 5/2
From here, you can see that the y-intercept is (0, 5/2). You can also say that the y-intercept is (0, 2.5).
To get the x-intercept, substitute 0 for y.
0 = -3/2x + 5/2
3/2x = 5/2
3x = 5
x = 5/3
So, the x-intercept is (5/3, 0). You can also say that the x-intercept is (1.67, 0).
Hope this helps!
Since x can be any value as long as the denominator equals 0 (it doesn't matter if it's positive or negative), we have to figure out when x^2=0, which is when x=0. Therefore, the domain is (-inf, 0) U (0, inf)
