SOLUTION: If ax^3+bx^2+x-6 has (x+2) as a factor and leaves a remainder 4 when divided by (x-2).find the value of a and b?
Algebra.Com
Question 758980: If ax^3+bx^2+x-6 has (x+2) as a factor and leaves a remainder 4 when divided by (x-2).find the value of a and b?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Use synthetic division with a divisor of 
into a dividend of 
to get 
. Then do the same thing with a divisor of 
to get 
. Solve the 2X2 system. See Purple Math Synthetic Division if you need a refresher.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
If ax^3+bx^3+x has (x+2) as a factor and leaves a remainder 4 when divided by (x-2).Find... (answered by solver91311)
The expression x^4 + ax^3 + 5x^2 + bx + 6 when divide by (x-2), the remainder is 16 and... (answered by solver91311)
If f(x)=ax^4 +bx^3 -x^2 +2x +3 has a remainder 11 when divided by x-2and has a remainder... (answered by josgarithmetic)
please help me urgently....
1)Find m and n if (x-2) and (x+3) are both factors of... (answered by KMST)
Please can you help me
Find the values of a and b if ax^4+bx^3-8x^2+6x-6 has a remainder (answered by MathLover1,Edwin McCravy)
The polynomial R(x) = x^4 + Ax^3 + Bx^2 + 10x - 1 has a remainder of -15 when divided by... (answered by josgarithmetic)
The expression ax˛+bx+c is divisible by (x-1),has remainder 2 when divided by (x+1) and... (answered by Boreal)
The expression f(x)=x^3+ax^2+bx-6 is exactly divisible by (x-1), and has a
remainder of... (answered by reviewermath)
When f(x)= ax^2+bx-4 is divided by x+2, the remainder is -2. When f(x) is divided by x+3, (answered by josgarithmetic)
