Question

If f(x) = x²-5x and g(x) = 2x-3, which expression represents the product of these two functions?

1) x²-3x-3
2) 2x³-13x²+15x
3) 9x²-15x
4) 2x³-15x

Answer 1

`product=f(x)\cdot g(x)=(x^2-5x)(2x-3)=2x^3-3x^2-10x^2+15x=\\\\=2x^3-13x^2+15x\ \ \ \Rightarrow\ \ \ Ans.\ 2)`

Answer 2

2). (x² - 5x) (2x - 3) = 2x³ -13x² + 15x