Step-by-step
This problem is asking us to multiply f(x) and g(x).
{f(x)}{g(x)} = (2x^2 + x - 3)(x - 1)
Use the Distributive Property of Multiplication to multiply the functions.
(2x^2)(x) + (2x^2)(-1) + (x)(x) + (x)(-1) + (-3)(x) + (-3)(-1)
Simplify
(2x^3) + (-2x^2) + (x^2) + (-x) + (-3x) + (3)
Combine like terms
2x^3 + (-x^2) + (-4x) + 3
Answer
(a) 2x^3 - x^2 - 4x + 3
