Question

Let f(x) = -3x³ + 4 and g(x) = -8x² + 2x. What is f(x) g(x)?
·

Answer 1

`{ \tt{f(x).g(x) = ( - 3 {x}^(2) + 4)( { - 8x }^(2) + 2x) }} \\ = { \tt{( - 3 * - 8) {x}^((2 + 2)) + (2 * - 3) {x}^((2 + 1)) + ( - 8 * 4) {x}^(2) + (4 * 2)x }} \\ = { \tt{24 {x}^(4) - 6 {x}^(3) - 32 {x}^(2) + 8x}}`