Question

Não consigo achar a reposta alguém me ajuda por favor? Sendo P( x ) = x4 + 3x3 – 2x2 + 5x – 10, Q( x ) = – 2x4 +6x2 – 3x +7 e R( x ) = 3x4 – 2x3 +4x2 – 5x – 8 Determine: ( a ) P( x ) + R ( x ) ( b ) Q ( x ) – P ( x ) ( c ) 2R ( x ) + Q ( x ) – P ( x )

Answer 1

Resposta:

Explicação passo-a-passo:

P( x ) = x⁴ + 3x³ – 2x² + 5x – 10

Q( x ) = – 2x⁴ +6x² – 3x + 7

R( x ) = 3x⁴ – 2x³ +4x² – 5x – 8

Determine:

a) P (x) + R (x) = x⁴ + 3x³ – 2x² + 5x – 10 + (3x⁴ – 2x³ +4x² – 5x – 8)

P (x) + R (x) = x⁴ + 3x³ – 2x² + 5x – 10 + 3x⁴ – 2x³ +4x² – 5x – 8

Some ops termos semelhantes:

P (x) + R (x) = 4x⁴ + x³ + 2x²  – 18

b) Q (x) – P (x) = – 2x⁴ +6x² – 3x + 7 − ( x⁴ + 3x³ – 2x² + 5x – 10)

Q (x) – P (x) = – 2x⁴ +6x² – 3x + 7 − x⁴ − 3x³ + 2x² − 5x + 10

Some ops termos semelhantes:

Q (x) – P (x) = – 3x⁴  − 3x³ + 8x² – 8x + 17

c) 2R (x) + Q (x) – P (x) = 2 (3x⁴ – 2x³ +4x² – 5x – 8) + (– 2x⁴ +6x² – 3x + 7) – (x⁴ + 3x³ – 2x² + 5x – 10)

2R (x) + Q (x) – P (x) = 6x⁴ – 4x³ + 8x² – 10x – 16 – 2x⁴ +6x² – 3x + 7 – x⁴ − 3x³ + 2x² − 5x + 10

Some ops termos semelhantes:

2R (x) + Q (x) – P (x) = 3x⁴ – 7x³ + 16x² – 18x + 1