Question

The expression 2x(3x^2-4x)+3(x^2-4x+6) can be written in the form ax^3 + bx^2 + cx + d.

Find the value of a,b,c,and d (simplify expression first)

Answer 1

`2x(3 {x}^(2) - 4x) + 3( {x}^(2) - 4x + 6) \\ 6 {x}^(3) - 8 {x}^(2) + 3 {x}^(2) - 12x + 18 \\ 6 {x}^(3) - 5 {x}^(2) - 12x + 18`

`a = 6 \\ b = -5 \\ c =- 12 \\ d = 18`