Asked by katy
an someone show me the steps to solve this problem? x^2 + 5x +8 divided by x + 3
Answers
Answered by
Steve
Think of it as a long division problem, and do it the way you would if dividing a 2-digit number into a 3-digit number.
x goes into x^2 x times.
Multiply the divisor by x to get x^2 + 3x
Subtract that from x^2 + 5x and the x^2 terms go away.
Now you are left with x+3 into 2x+8. x goes into 2x 2 times.
Multiply the divisor by 2 to get 3x+6
Subtract that and the x terms go away, and you are left with a remainder of 2.
So, (x^2 + 5x + 8)/(x + 3) = x+2 remainder 2
or
x + 2 + 2/(x+3)
x goes into x^2 x times.
Multiply the divisor by x to get x^2 + 3x
Subtract that from x^2 + 5x and the x^2 terms go away.
Now you are left with x+3 into 2x+8. x goes into 2x 2 times.
Multiply the divisor by 2 to get 3x+6
Subtract that and the x terms go away, and you are left with a remainder of 2.
So, (x^2 + 5x + 8)/(x + 3) = x+2 remainder 2
or
x + 2 + 2/(x+3)
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.