139k views
2 votes
Divide these polynomials. (x4 - 5x3 + 7x2 - 4x + 3) /(x - 3)

User Muntu
by
8.1k points

1 Answer

1 vote
Important: please use " ^ " to indicate exponentiation:

x^4 - 5x^3 + 7x^2 - 4x + 3

If you want to divide this by x-3, synth. division would be perfect. Use +3 as your divisor:

__________________
3 / 1 -5 7 -4 3
3 -6 3 -3
-------------------------------
1 -2 1 -1 0 Since the remainder is zero, we know that 3 is a root and (x-3) is a factor. The quotient we can
write using the coefficients shown: {1, -2, 1, -1}:

x^3 - 2x^2 + x - 1 (answer)

User Splox
by
8.8k points

Related questions

asked May 18, 2023 28.0k views
Alenros asked May 18, 2023
by Alenros
8.6k points
1 answer
3 votes
28.0k views
asked Jan 27, 2021 55.7k views
KangarooChris asked Jan 27, 2021
by KangarooChris
8.0k points
2 answers
1 vote
55.7k views
asked Dec 2, 2023 133k views
Isvforall asked Dec 2, 2023
by Isvforall
8.5k points
1 answer
22 votes
133k views