Question

A = 5x⁴ - 6x³ + 4x² - 5x + 5
B = 7x³ - 6x² - 8x + 2
C = 3x² - 2x - 10
D = 4x - 3

1) A + B - C
2) B + C
3) A - C
4) A - B + C
5) D.C
6) D.B​

Answer 1

Resposta:

1) A + B - C =

 5.x^4 -6.x³+4.x²-5.x +5 + 7.x³- 6.x²-8.x +2 -(3.x²-2.x -10)=

5.x^4 -6.x³+4.x²-5.x+5+7.x³-6.x²-8.x+2-3.x²+2.x+10=

5.x^4 -1.x³+1.x²-15.x-3

2)B+C=

7.x³-6.x²-8.x+2 +3.x²-2.x-10=

7.x³³-3.x²²-10.x-8

3)A-C

5.x^4-6.x³+4.x²-5.x+5 - (3.x²-2.x-10)=

5.x^4-6.x³+4.x²-5.x+5 -3.x²-2.x-10=

5.x^4-6.x³+1.x²-7.x-5

4)A-B+C

5.x^4-6.x³+4.x²-5.x+5 - (7.x³-6.x²-8.x+2) + 3.x²-2.x-10=

5.x^4-6.x³+4.x²-5.x+5-7.x³+6.x²+8.x -2+3.x²-2.x-10=

5.x^4-13.x³13.x²1.x-7

5)D.C

(4.x-3).(7.x³-6.x²-8.x+2)=

28.x^4-24.x³-32.x²+8.x-21.x³+18.x²+24.x-6=

28.x^4-45.x³-14.x²32.x²-6

6)D.B

(4.x-3).(7.x³-6.x²-8.x+2)=

-28.x^4-24.x³-32.x²+8.x-21.x³+18.x²-6=

-28.x^4-45.x³-14.x²-6

Explicação passo-a-passo: