Question

prove that x²-4x+3 is a factor of x⁵-5x⁴+7x³-2x²-4x+3

Answer 1

Try this:
\(\Large x^2-4x+3=(x-1)(x-3) \)

If you can divide \(\Large x^5-5x^4+7x^3-2x^2-4x+3 \) by both factors of (x-1) and (x-3), then \(\large x^2-4x+3 \) is a factor of that long polynomial.

Answer 2

yes that worked, thank you !

Answer 3

Yw :)