德望學校 – S3數學 3A Chapter 1 More about Factorization of Polynomials – CQ (16-21)

試卷答案:

1. a) (4 – x)²
   b)(4 + x)(4 – x)
   c) (x – 4)(4 + 5x)
2. a i) (x – 1)(4x + 9)
     ii) (x – 1)(x² + x + 1)
   b) (x – 1)(x² + 5x + 10)
3. (2x – 3y)²
4. a) (x +1)(x – 2)
   b) \(\dfrac{x-1}{x+1}\)
   c) \(\dfrac{4x}{(x-1)(x+1)}\)
5. a i) (a -7)(a + 3)
     ii) (a – 7)(a² + 7a + 49)
   b) (a – 7)(a² + 8a + 52)
6. a) (2a + 1)(a – 3)
   b) (2a + 1 – b²)(a – 3)
7. a) (2x – 1)(3x + 7)
   b) (2x – 1)(4x² + 5x + 8)
8. a) (p – 3)(p + 4)
   b) (p -3)(p – q + 4)
9. a i) (x – 1)(x – 5)
     ii) (x – 1)(x -5 – k)
   b) (a + 2b)(a² – 2ab + 4b² + c)
10. a) (x – 2y)(3x + 4y)
    b) 2(x – 2y)(x² + 2xy + 4y²)
    c) (x – 2y)(3x + 4y – 2x² – 4xy – 8y²)
11. a) (x – 12)(x – 2)
    b) (x – 2)(x – 12 + y)
12. a) (2x + 1)(7x – 2)
    b) 2(x – 2)(x – 3)
13. a) (2x – 3)(4x² + 6x + 9)
    b) (2x – 3)(4x + 3)(x – 2)
14. a) x² (x -y + 6)
    b) (x – y + 6)(x – 2)(x + 2)
15. 2(a – 4)(a² – 2a + 4)
16. a) (x – 15)(x + 2)
    b) (x – 15)(x – y + 2)
17. (5x – 4y)(25x² + 20xy + 16y²)
18. a) 2(9y – 2)(y + 3)
    b) (3x – 5)(x + 1)

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