write the quadratic equation I(x)=50x-x^2 into a linear factor form

Question

write the quadratic equation I(x)=50x-x^2 into a linear factor form

Answer 1

50x- x^2

=x(50-x)

= product of 2 linear factors

zeros are 0 and 50= x intercepts or roots

or

you could rewrite it in vertex form

-(x^2-50x + 25^2) + 25^2

= -(x-25)^2 + 625

with vertex = (25,625) = max point of a downward opening parabola

= -(x-25)(x-25) + 624

where (x-25)^2 is the product or square of 2 linear factors x-25 and x-25