Question

IM DOING applications with polynomials:::
1:) Solve: x4 − 5x3 + 11x2 − 25x + 30 = 0

Answer 1

So I tried factoring the first little part....


\[x^4-5x^3+?x^2-?x^2+11x^2-25x+30=0\]
\[(x^4-5x^3+?x^2)+(-?x^2+11x^2-25x+30)=0\]

\[x^2(x^2-5x+?)+([11-?]x^2-25x+30)=0\]

We need to play with that ? a little.

What can you replace the question mark in the first trinomial to make it factorable?
We are looking at \[x^2-5x+?\]

Answer 2

Hello?