math
posted by rohit .
if x3+ax2bx+10 is divisible by x23x+2 .find the value of a and b

math 
Reiny
since x^2  3x + 2 = (x2)(x1)
so x^3 + ax^2 bx + 10 must be divisible by both
x2 and x1
let f(x) = x^3 + ax^2 bx + 10
f(2) = 5 + 4a  2b + 10 = 0 > 4a  2b = 15
f(1) = 1 + a  b + 10 > ab = 11 or a = b11
sub 2nd into 1st
4(b11)  2b = 15
4b  44  2b = 15
2b = 29
b = 29/2
then a = 29/2  11 = 7/2 
math 
Anonymous
good
Respond to this Question
Similar Questions

math
I'm having some troubles with these. Thanks in advance. If a>0 find the minimum value. If a<0 find the maximum value. 1. y=x²+2x+5 2. y=2x²3x+4 These are functions for parabolas, so f(x)=ax²+bx+c when a does not equal 0 … 
Math
The question is this: You know that a number is divisible by 6 if it is divisible by both 3 and 2. So why isn't a number divisible by 8 if it is divisible by both 4 and 2? 
math
is 504 divisible by 2,4,6,8 is 111 divisible by 3,9 is 3,217 divisible by 3 is 804 divisible by 2,4,6,8 
math
find a such that f(x)= ax24x+3 has a maximum value of 12 
math
find a such that f(x)= ax24x+3 has a maximum value of 12 
math
Find the value of the missing digit that makes the statement true. 214,21_ is divisible by 11 Determine whether the statement is true or false. Why? 
Math PLEASE HELP!!!
Which of the following is false? a. A number that is divisible by 3 and 20 is divisible by 60. b. A number that is divisible by 4 and 15 is divisible by 60. c. A number that is divisible by 5 and 12 is divisible by 60. d. A number 
precalculus
can you please check my work? 7. Find the equation of the parabola y=ax2+bx+c that passes through the points(0,6),(2,2), and(3,9/2). y=ax2+bx+c 6=a(0)2+b(0)+c 2=a(2)2+b(2)+c 9/2=a(3)2+b(3)+c 6=c 2=4a+(2b)+6 9/2=9a+3b+6 4=4a2b 
number theory
The values A,B,C, and [(A/B)+C], are all integers which are divisible by 3. Then, which of the following statements must be true: A is divisible by 9 B is divisible by 9 C is divisible by 9 A and B are both divisible by 9 A,B,and C … 
maths
The values A,B,C, and [(A/B)+C], are all integers which are divisible by 3. Then, which of the following statements must be true: A is divisible by 9 B is divisible by 9 C is divisible by 9 A and B are both divisible by 9 A,B,and C …