Simplyify the expression -2x^2(4x-3).

-8x^3 + 6x^2

Step-by-step explanation:

Multipy each term in the parenthesis by -2x^2

-2x^2 x 4x - 2x^2 x (-3)

calculate the product

-8x^3 - 2x^2 x (-3)

multiplying two negatives equals a positive: (-)x(-)=(+)

-8x^3 + 2x^2 x 3

calculate the product

-8x^3 + 6x^2

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)