You have the following functions:
h(x) = 2x - 3
k(x) = -5x² + 2x - 4
To determine the coefficient of the second term of h(x)*k(x), calculate this product:
h(x)*k(x) =
(2x - 3)(-5x² + 2x -4) =
(2x)(-5x²) + (2x)(2x) + (2x)(-4) + (-3)(-5x²) + (-3)(2x) + (-3)(-4) =
-10x³ + 4x² - 8x + 15x² - 6x + 12 =
-10x³ + 19x² - 14x + 12
Hence, the coefficient of the second term is 19
