Arrange the equations in order from least to greatest by their number of solutions. x^5-2x^2+9=0 , -x^2-8x=10 , x+1=3x^3-x^2 , x^4-12x+3x^6=1

Answer 1

The good news here is that we don't need to actually solve anything! By the fundamental theorem of algebra, we know that a polynomial of degree n has n roots (or solutions). So you can order the equations by their degree.

Note: this question becomes more complicated if you are asked for the number of distinct solutions - you would then need to account for roots with multiplicity greater than 1.