✔ 最佳答案
1.
(ax^2 - 3x - 2) - (bx + 5x^2 + c) = 0
ax^2 - 3x - 2 = bx + 5x^2 + c
ax^2 - 3x - 2 = 5x^2 + bx + c
a = 5 , b = - 3 , c = - 2
3.(1)
- (x^2 - 2x + 3) + ? = x^2 + 3x - 8
- x^2 + 2x - 3 + ? = x^2 + 3x - 8
? = 2x^2 + x - 5
多項式是 2x^2 + x - 5。
3.(2)
(x^3 - x + 1/3) - ? = x^3 - 2x^2 - 1
x^3 - x + 1/3 - ? = x^3 - 2x^2 - 1
2x^2 - x + 4/3 = ?
多項式是 2x^2 - x + 4/3。
3.(3)
? + (- x^2 + 2x + 1) = 3x + 6
? - x^2 + 2x + 1 = 3x + 6
? = x^2 + x + 5
多項式是 x^2 + x + 5。
3.(4)
? - (x + 4) = x^2 - 2x - 7
? - x - 4 = x^2 - 2x - 7
? = x^2 - x - 3
多項式是 x^2 - x - 3。
4.
A = 0.34x^2 - 0.27x + 0.52 ......(1)
23A + 3B = 12x^2 - 17x + 28 ......(2)
把 (1) 代入 (2) ,
23(0.34x^2 - 0.27x + 0.52) + 3B = 12x^2 - 17x + 28
7.82x^2 - 6.21x + 11.96 + 3B = 12x^2 - 17x + 28
3B = 4.18x^2 - 10.79x + 16.04
77A - 3B = 77(0.34x^2 - 0.27x + 0.52) - (4.18x^2 - 10.79x + 16.04)
= 26.18x^2 - 20.79x + 40.04 - 4.18x^2 + 10.79x - 16.04
= 22x^2 - 10x + 24
5.
(3x^3 - 2ax + bx^2 + 4 - 5x^2 + bx) + (2x^2 - 4x + 1)
= 3x^3 - 2ax + bx^2 + 4 - 5x^2 + bx + 2x^2 - 4x + 1
= 3x^3 - 3x^2 + bx^2 - 2ax + bx - 4x + 5
6.(1)
A = 3x^2 + 4x - 5
B = - x^2 + 6
C = x^2 - 7x + 4
A + B - C = (3x^2 + 4x - 5) + (- x^2 + 6) - (x^2 - 7x + 4)
= 3x^2 + 4x - 5 - x^2 + 6 - x^2 + 7x - 4
= x^2 + 11x - 3
6.(2)
3A - (B - 2C) = 3(3x^2 + 4x - 5) - [- x^2 + 6 - 2(x^2 - 7x + 4)]
= 3(3x^2 + 4x - 5) - [- x^2 + 6 - (2x^2 - 14x + 8)]
= 3(3x^2 + 4x - 5) - (- x^2 + 6 - 2x^2 + 14x - 8)
= 9x^2 + 12x - 15 + x^2 - 6 + 2x^2 - 14x + 8
= 12x^2 - 2x - 13
8.
6x^2 + 4x + 5 = a(x + 1)^2 + b(x + 1) + c
6x^2 + 4x + 5 = a(x^2 + 2x + 1) + bx + b + c
6x^2 + 4x + 5 = ax^2 + 2ax + a + bx + b + c
a = 6 , b = - 8 , c = 7
9.
3A + 2B = 13x^2 - 3x + 7 ......(1)
A - 3B = - 3x^2 - 23x + 6 ......(2)
由 (2) , A = - 3x^2 - 23x + 6 + 3B ......(3)
把 (3) 代入 (1) ,
3(- 3x^2 - 23x + 6 + 3B) + 2B = 13x^2 - 3x + 7
- 9x^2 - 69x + 18 + 9B + 2B = 13x^2 - 3x + 7
11B = 22x^2 + 66x - 11
B = 2x^2 + 6x - 1
把 B = 2x^2 + 6x - 1 代入 (3) ,
A = - 3x^2 - 23x + 6 + 3(2x^2 + 6x - 1)
A = - 3x^2 - 23x + 6 + 6x^2 + 18x - 3
A = 3x^2 - 5x + 3
A多項式是 3x^2 - 5x + 3 , B多項式是 2x^2 + 6x - 1。