How do you divide −x3+13x2−x−5x−4?
2 Answers
Explanation:
One way is to use the divisor as a factor in the numerator.
add / subtract the terms that occur as a consequence
consider the numerator
−x2(x−4)−4x2+13x2−x−5
=−x2(x−4)+9x(x−4)+36x−x−5
=−x2(x−4)+9x(x−4)+35(x−4)+140−5
⇒quotient =−x2+9x+35 remainder =135
Explanation:
For this question, use synthetic division (if you don't know what that is, check this out: http://www.purplemath.com/modules/synthdiv.htm)
x-4 is linear, so we are allowed to use synthetic division.
Your synthetic division should look something like this:
4| -1 13 -1 -5
-4 36 140
-1 9 35 135
So we get that
Alternatively, you can use the long division to do this, though it will take a bit longer (https://www.mathsisfun.com/algebra/polynomials-division-long.html)
Hope that helps!
