X4 plus 3x3-10x2 equals 0

Answer 1

Given:

x4 + 3x3 - 10x2 = 0

You can start by dividing both sides of the equation by x2:

x2 + 3x - 10 = 0

Then factor out the left side of the equation into simpler terms:

(x + 5)(x - 2) = 0

For the result to be 0, either of the terms in brackets on the left must equal 0, so that means there are two answers:

x = -5, x = 2