PreCalc
posted by Anthony
When the polynomial p(x) is divided by (x–2), the remainder is 3 and when p(x) is divided by (x+1) the remainder is 9. Given that p(x) may be written in the form (x–2)(x+1)q(x) + Ax + B where q(x) is a polynomial and A and B are numbers, find the remainder when p(x) is divided by (x–2)(x+1).

Anthony
Can someone please actually help?

Steve
impatient much? We don't all just sit by our computers all day waiting for postings. We also have lives.
we are given
p(2) = 3
p(1) = 9
so, using those values (and recognizing that the (x–2)(x+1)q(x) part is zero),
2A+B = 3
A+B = 9
solve for A and B, and Ax+B is the remainder. 
Anthony
Steve,
My apologies but the only reason I said that was because some random person kept spamming this question with random sayings and it kinda got annoying. I didn't mean to offend you in any way 
Steve
yeah, that happens some here.
Respond to this Question
Similar Questions

math
What is the lowest numberthat has a remainder of 1 when divided by 2 and a remainder of 2 when devided by 3 and a remainder of 3 when divided by 4 and a remainder of 4 when divided by 5? 
Math  repost for Anonymous
Can someone show me the steps to these questions (I will provide the correct answers)? 
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? 
algebra
A polynomial f(x) of degree 3 leaves a remainder of 6 when divided by (x+1) and a remainder of 12 when divided by (x2). Given that the coefficient of x^3 is 2 and (x+2) is the factor of the polynomial. Show that f(x)= 2x^3+3x^25x+2 
Algebra
If p(x) is a polynomial and is divided by (xk) and a remainder is obtained, then that remainder is p(k). If the quadratic p(x)=x^23x+5 gives the same remainder when divided by x+k as it does when divided by x3k find the value of … 
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 … 
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 – … 
adv function
an unknown polynomial f(x) of degree 32 yields a remainder of 1 when divided by x1 and a remainder of 3 when divided by x3, find the remainder when f(x) is divided by (x1)(x3). What is the answer?