Polynomial Division + Other question help (1 Viewer)

Danneo

Member
1. When the polynomial P(x) is divided by (x+1)(x-2) its remainder is 18x+17. What is the remainder when P(x) is divided by (x-2)?
Ans = 51

2. If a>0 and the function f(x) = ax^3 + bx^2 + cx + d is always increasing, what is the condition on a, b and c?
a)(b^2)-ac<0
b)(b^2)-2ac<0
c)(b^2)-3ac<0
d)(b^2)-4ac<0

For question 2, how do you go about solving it

3. What is the number of solutions of the equation ln|(x^2)-1| (Absolute value)

EDIT:
3. What is the number of solutions of the equation ln|(x^2)-1| = 0 (Absolute value) I done goofed lol

Last edited:

integral95

Well-Known Member
1. You have to find P(2), assuming you know your remainder theorem.

2. You have to see that f'(x) >0 and therefore you use the discriminate on f'(x) and make that negative.

3. That's not even an equation

Danneo

Member
Yikes, my bad, fixed it, Q3 should of been equal to 0
For question 2, i derived it but not sure how to get an answer out of it
Thx

HoldingOn

Active Member
Yikes, my bad, fixed it, Q3 should of been equal to 0
For question 2, i derived it but not sure how to get an answer out of it
Thx
It should be b^2 -3ac<0 just factor out 4

integral95

Well-Known Member
Yikes, my bad, fixed it, Q3 should of been equal to 0
For question 2, i derived it but not sure how to get an answer out of it
Thx
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