The product of a polynomial and a scalar is obtained by multiplying each term of the polynomial by the scalar.
Example;
If p(x) and g(x) are polynomials where,
P(x) = 2x3 - 3x2 + 5x – 10, g(x) = 3x2 – 6x + 5
Find;
- 2p(x) (ii) -3g(x)
Solution
- 2p(x) = 2 [ 2x3 – 3x2 + 5x -10]
= 4x3-6x2+10x-20
- -3g(x) = -3 [ 3x2 – 6x + 5]
= -9x2+18x-15
