Math
posted by Kevin .
(x3) is a factor of x^3+ax^2+bx3 but when divided by x+2 the remainder is 15
Solve for A and B
I know that A is 1 and B is 11, but I don't understand how to solve it

the easiest way is synthetic division. ivide f(x) by x3 to see that the remainder is
9a+3b+24
divide by x+2 and the remainder is
4a  2b  11
so, now you have two equations to solve
3a+b+8 = 0
4a  2b  11 = 15
Looks like the solution above is correct
Respond to this Question
Similar Questions

math
How do you solve these types of problems? 
Math  repost for Anonymous
Can someone show me the steps to these questions (I will provide the correct answers)? 
College Math II
Solve each problem. Find the quotient and remainder when x^2 – 5x + 9 is divided by x – 3. I don't understand how to divide and solve this problem. Can someone help me understand the steps on how to do it. Thanks. 
Math
Find the least positive integer that leaves the remainder 3 when divided by 7, remainder 4 when divided by 9, and remainder 8 when divided by 11. Using the Chinese Remainder Theorem. 
Math
How many integers bewteen 200 and 500 inclusive leave a remainder 1 when divided by 7 and a remainder 3 when divided by 4? 
Math
How many integers between 200 and 500 inclusive leave a remainder 1 when divided by 7 and a remainder 3 when divided by 4? 
calculuscan someone please help me with this ques
I have two questions if someone can PLEASE help. 1.solve the equation in the real number system. x^4+11x^3+24x^223x+35=0 **Please show work** 2.Use the remainder theorem to find the remainder. When f(x)is divided by x3. Then use … 
math
1.) when the expression 4x^23x8 is divided by xa, the remainder is 2. find the value of a. 2.) the polynomial 3x^3+mx^2+nx+5 leaves a remainder of 128 when divided by x3 and a remainder of 4 when divided by x+1. calculate the remainder … 
Algebra ll
Please help!! I do not understand any of this!! Use the remainder theorem to find the remainder when f(x) is divided by x+4. Then use the factor theorem to determine whether x+4 is a factor of f(x). f(x)=4x^664x^4+x^218 
Math adv function
An unknown polynomial f(x) of degree 37 yields a remainder of 1 when divided by x – 1, a remainder of 3 when divided by x – 3, a remainder of 21 when divided by x – 5. Find the remainder when f(x) is divided by (x – 1)(x – …