SOLUTION: 1.)When the expression x^3+mx^2+nx-5 is divided by x+2 and x+3, the remainders are 2 and 13 respectively. Find the values of m and n. 2)When P(x)=x^2+ax-b is divided by x-1, the

Question 988995: 1.)When the expression x^3+mx^2+nx-5 is divided by x+2 and x+3, the remainders are 2 and 13 respectively. Find the values of m and n.
2)When P(x)=x^2+ax-b is divided by x-1, the remainder is 6. When P(x) is divided by x+2, the remainder is 3. Find the values of a and b.
Please help me and thank you
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
When a polynomial is divided by (where is any real number) is .

1)
If the remainder is when is divided by ,
then ---> .

If the remainder is when is divided by ,
then --->--->---> .
--->--->
--->--->--->
--->--->--->

2) Similarly,
--->--->
and --->--->--->
--->--->--->--->--->--->
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