Multiply the following polynomials and write the resulting polynomial in descending order.
(3x-8)(2x^2+4x-9)
The value of the coefficient of the x^3 term is ____.
5
6
10
10
Solution:
(3x - 8)(2x^2 + 4x -9)
Expanding using distributive property:
6x^3 + 12x^2 - 27x - 16x^2 - 32x + 72
Combining like terms:
6x^3 - 4x^2 - 59x + 72
The coefficient of the x^3 term is 6.