Volume is legnth times width times height so 3 dimentions thee teacher probabl y wants you to factor the trinomial into 3 factors so x^3+5x^2-24x first factor out x x(x^2+5x-24) then factor find what 2 numbers multiply to get -24 and add to get 5 the numbers are -3 and 8 x^2+5x-24 factors to (x-3)(x+8) the factored form is (x)(x-3)(x+8)=volume no dimention can be ≤0 so therefor x≤0
x-3≤0 add 3 x≤3
x+8≤0 subtract 8 x≤-8
so the values for x is x<3
so if you had the volume, let's say 42 then x^3+5x^2-24x=42 subtract 42 from both sides x^3+5x^2-24x-42=0 factor and set each to zero to find the dimentions
So you can set this problem up like 6+ 1.25x because Christian has $6 in his wallet that is the total so we can leave it so far by itself without a variable. Now on the other hand, the apples Christian wants to buy is $1.25 per apple it is x because if it is more than 1 that is each so in math we represent it with a variable of just x . Hoped that helped :)
