Question

The minimum number of multiplications and additions required to evaluate the polynomial p = 4x^3+3x^2-15x+45 is

Answer 1

Answer:

Minimum number of multiplications and additions required to evaluate the polynomial

P=4x^3+3x^2-15x+45 is

P=x[4x^2+3x-15]+45

P=x[x[4x+3]-15]+45

Let T be a temporary variable to store intermediate values

1)T=4*x

2)T=T+3 here T=4*x

3)T=T*x here T=4*x+3

4)T=T-15 here T=x*[4*x+3]

5)T=T*x here T=x*[4*x+3]-15

6)T=T+45 here T=x*[x*[4*x+3]-15]

So 1),3),5) are 3 multiplications

2),4),6) are 3 additions

Answer 2

Answer:

Step-by-step explanation:

3 and 3