1. First write the two polynominals in a row separated by using multiplication sign.
[tex](t^2-6t+3)\cdot(2t-5)[/tex]
2. Multiply each term of one binomial with each term of the other.
[tex]=(t^2)(2t)+(t^2)(-5)+(-6t)(2t)+(-6t)(-5)+(3)(2t)+(3)(-5)\\\\=2t^3-5t^2-12t^2+30t+6t-15[/tex]
3. In the product obtained, combine the like terms and then add the like terms.
[tex]=2t^3-5t^2-12t^2+30t+6t-15\\\\=(2t^3)+(-5t^2-12t^2)+(30t+6t)+(-15)\\\\=2t^3-17t^2+36t-15[/tex]
