Question

Simplify the expression to a polynomial in standard form:
(2x - 1)(-x^2+ 4x + 6)

Answer 1

`(2x - 1)( - {x}^(2) + 4x + 6) \\ = 2x * - {x}^(2) + 2x *4x + 2x * 6 \\ - 1 * - {x}^(2) - 1 * 4x - 1 * 6 \\ = - 2 {x}^(3) + 8 {x}^(2) + 12x + {x}^(2) - 4x - 6 \\ = - 2 {x}^(3) + 9 {x}^(2) - 8x - 6 \\ thank \: you`