德望學校 – S3數學 3A Chapter 1 More about Factorization of Polynomials – CQ (13-18)

試卷答案:

1. a) 2(x – 4y)(x – 9y)
   b) 2(3x + 7)(8x + 17)
2. a) (x + 6y)(x – 6y)
   b) (x – 6y)(x + 6y + 2x²y²)
3. a) 2(2x + y)(x + 2y)
   b) 2(3w + 1)(3w – 1)
4. a) (2a – 5b)(4a² + 10ab + 25b²)
   b) (-3x + 7y)(39x² – 42xy + 19y²)
5. a) (y – 4)(y² + 4y + 16)
   b) (3x – 2)(x – 4)
   c) (w + 2)(w – 2)(w⁴ + 7w² + 14)
6. a) (a – 12)(a – 6)
   b) (y + 3)(y – 4)(y – 3)(y + 2)
7. a) (4 – x)²
   b)(4 + x)(4 – x)
   c) (x – 4)(4 + 5x)
8. a i) (x – 1)(4x + 9)
     ii) (x – 1)(x² + x + 1)
   b) (x – 1)(x² + 5x + 10)
9. (2x – 3y)²
10. a) (x +1)(x – 2)
    b) \(\dfrac{x-1}{x+1}\)
    c) \(\dfrac{4x}{(x-1)(x+1)}\)
11. a i) (a -7)(a + 3)
      ii) (a – 7)(a² + 7a + 49)
    b) (a – 7)(a² + 8a + 52)
12. –
13. a) (2a + 1)(a – 3)
    b) (2a + 1 – b²)(a – 3)
14. a) (2x – 1)(3x + 7)
    b) (2x – 1)(4x² + 5x + 8)
15. a) (p – 3)(p + 4)
    b) (p -3)(p – q + 4)

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