The volume V(x) of box in terms of its height x is given by the function V(x)=x^3+7x^2-8x. Factor the expression for V(x)

Question

The volume of V(x) of a box in terms of its height x is given by the function V(x)=x^3+7x^2-8x. Factor the expression for V(x)

Answer 1

when you have a more complicated factoring question like this, look for a greatest common factor (gcf) to factor out first

 

x^3+7x^2-8x

x (x² +7x - 8)  < then factor the trinomial --- you need two terms that add to +7 and multiply to -8

x(x+8)(x-1)

 

and thats it

 

 

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