The solution for (x^2+x-17) / (x-4) is (x + 5) + 3/(x-4)
Step-by-step explanation:
The given polynomial is (x^2+x-17) divided by (x-4)
Steps for long division method :
- check the polynomial is written in descending order of power (x^3, x^2, and so on).
- To make the first term zero, multiply the divisor with one power lesser than the first term. For eg. To divide x^2, multiply the divisor with x.
- Subtract and bring down the next term.
- The above two steps are repeated until the last term gets divided.
- The term remaining after the last subtract step is the remainder.
- The final answer must be written in quotient and remainder as a fraction with the divisor.
Using long division method :
x + 5
x-4 | x^2 + x - 17
(-)(x^2 - 4x)
5x - 17
(-)(5x -20)
3
The quotient is (x+5).
The remainder is 3.
The solution is written in the form of quotient + remainder/ divisor
∴ The final answer is (x^2+x-17) / (x-4) = (x + 5) + 3/(x-4)
