How do you solve #8x^5 + 10x^4 = 4x^3 + 5x^2#?
2 Answers
Explanation:
Move all the terms to the left.
Group in pairs and factor each pair.
Factor out the common factor and common bracket:
There are now three factors. Set each equal to zero and solve.
Explanation:
We can easily rewrite
Subtracting
which means that
'
i.e.
Now, for a polynomial to vanish, one of its factors have to be zero. So, either
If
or if
or, finally,