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1- Dados dos polinômios:
A=2x² + 5x +3
B=4x²- 2x + 1
C=3x² -x + 3
Calcule:
A) a+b=
B)a+2b-c=
C)-b-2a+c=
D)3b+4c-a=
E)-2b+4c-a=
F)-4a-c+4a=
G)2a-b+4c=
H)2a+4c-b=
I)-3a+4c-5b=
J)-a+4b-2c
Soluções para a tarefa
A=2x² + 5x +3
B=4x²- 2x + 1
C=3x² -x + 3
Calcule:
A) A+B= 2x² + 5x +3 + 4x²- 2x + 1 = 6x² +3x +4
B)A+2B-C= 2x² + 5x +3 +2(4x²- 2x + 1)-(3x² -x + 3 ) = 2x² + 5x +3 + 8x²- 4x +2 -3x² + x - 3 = 7x² + 2x + 2
C)-B-2A+C= - (4x²- 2x + 1) -2(2x² + 5x +3) + 3x² -x + 3 = -4x²+ 2x - 1 - 4x² - 10x -6 = -5x² - 9x - 4
D)3B+4C-A= 3( 4x²- 2x + 1) + 4(3x² -x + 3) - (2x² + 5x +3 ) = 12x² - 6x +3 + 12x² - 4x + 12 - 2x² - 5x - 3 = 22x² - 15x + 12
E)-2B+4C-A= -2( 4x²- 2x + 1) + 4(3x² -x + 3) - (2x² + 5x +3) = -8x² +4x- 2 +12x² -4x + 12 - 2x² - 5x - 3 = 2x² - 5x + 7
F)-4A-C+4A= -4(2x² + 5x +3) - (3x² -x + 3) + 4(2x² + 5x +3) = - 3x² + x -3)
G)2A-B+4C= 2(2x² + 5x +3) - (4x²- 2x + 1) + 4(3x² -x + 3) = 12x² + 8x + 17
H)2A+4C-B= 2( 2x² + 5x +3) + 4(3x² -x + 3) - (4x²- 2x + 1) = 12x² + 8x + 17
I)-3A+4C-5B= -3(2x² + 5x +3) + 4(3x² -x + 3 ) - 5(4x²- 2x + 1) = -14x² - 9x - 2
J)-A+4B-2C = -(2x² + 5x +3) + 4(4x²- 2x + 1) - 2(3x² -x + 3) = 8x² - 11x - 5
Resposta:
A=2x² + 5x +3
B=4x²- 2x + 1
C=3x² -x + 3
Calcule:
A) A+B= 2x² + 5x +3 + 4x²- 2x + 1 = 6x² +3x +4
B)A+2B-C= 2x² + 5x +3 +2(4x²- 2x + 1)-(3x² -x + 3 ) = 2x² + 5x +3 + 8x²- 4x +2 -3x² + x - 3 = 7x² + 2x + 2
C)-B-2A+C= - (4x²- 2x + 1) -2(2x² + 5x +3) + 3x² -x + 3 = -4x²+ 2x - 1 - 4x² - 10x -6 = -5x² - 9x - 4
D)3B+4C-A= 3( 4x²- 2x + 1) + 4(3x² -x + 3) - (2x² + 5x +3 ) = 12x² - 6x +3 + 12x² - 4x + 12 - 2x² - 5x - 3 = 22x² - 15x + 12
E)-2B+4C-A= -2( 4x²- 2x + 1) + 4(3x² -x + 3) - (2x² + 5x +3) = -8x² +4x- 2 +12x² -4x + 12 - 2x² - 5x - 3 = 2x² - 5x + 7
F)-4A-C+4A= -4(2x² + 5x +3) - (3x² -x + 3) + 4(2x² + 5x +3) = - 3x² + x -3)
G)2A-B+4C= 2(2x² + 5x +3) - (4x²- 2x + 1) + 4(3x² -x + 3) = 12x² + 8x + 17
H)2A+4C-B= 2( 2x² + 5x +3) + 4(3x² -x + 3) - (4x²- 2x + 1) = 12x² + 8x + 17
I)-3A+4C-5B= -3(2x² + 5x +3) + 4(3x² -x + 3 ) - 5(4x²- 2x + 1) = -14x² - 9x - 2
J)-A+4B-2C = -(2x² + 5x +3) + 4(4x²- 2x + 1) - 2(3x² -x + 3) = 8x² - 11x - 5