Find each of the following products:

(9x2 – x + 15) × (x2 – x – 1)





By using horizontal method,


We have;


(9x2 – x + 15) × (x2 – x – 1)


= 9x2(x2 – x – 1) – x (x2 – x – 1) +15(x2 – x – 1)


= 9x4 – 9x3 – 9x2 – x3 + x2 + x + 15x2 – 15x – 15


Putting equal power terms together, we get,


= 9x4 – 9x3 – x3 – 9x2 + x2 + 15x2 – 15x + x – 15


= 9x4 – 10x3 + 7x2 – 14x – 15


26