Find each of the following products:
(x3 – 5x2 + 3x + 1) × (x2 – 3)
By using horizontal method,
We have;
= (x3 – 5x2 + 3x + 1) × (x2 – 3)
= x2(x3 – 5x2 + 3x + 1) – 3(x3 – 5x2 + 3x +1)
= x5 – 5x4 + 3x3 + x2 – 3x3 + 15x2 – 9x – 3
By arranging the expression in the form of descending powers of x,
We get;
= x5 – 5x4 + 3x3 – 3x3 + x2 + 15x2 – 9x – 3
= x5 – 5x4 +16x2 – 9x – 3