Question

Matemática - Determine a B e C para deixar os outros polinomios nulos :

A) P(x) = ( a + 1 ) x4 + (2 + b ) x3 + ( 3 - c ) x2
B) p (x) = ( 3 + a ) x2 + ( b + 1 ) x + c
C) P (x) = ( a + 2 ) x3 + ( 2 - b ) x + ( c + 3 )

Answer 1

Resposta:

A) P(x) = ( a + 1 ) x⁴ + (2 + b ) x³ + ( 3 - c ) x2

a+1=0 ==>a=-1

2+b=0 ==>b=-2

3-c=0  ==>c=3

B) p (x) = ( 3 + a ) x² + ( b + 1 ) x + c

3+a=0 ==>a=-3

b+1=0 ==>b=-1

c=0

C) P (x) = ( a + 2 ) x³ + ( 2 - b ) x + ( c + 3 )

a+2=0 ==>a=-2

2-b=0 ==>b=2

c+3=0 ==>c=-3