Question

No polinômio p(x)= x³-gx²+x+1 determine g se:

A) p (1)=0

B) p(3)=1

Answer 1

a.
p(1) = 0
1³ - g(1)² + 1 + 1 = 0
3 - g =0
3 = g

p(3) = 1
3³-g(3)² + 3 + 1 = 1
31 - 9g = 1
-9g = 1-31
-9g = -30
g= -30/-9
g= 3,33