ENRICHEMENT QUESTION: VIII

1.   Simplify: –45p³ ÷ 9p²

2.   Simplify: 4x²y²(3z – 24), 36xy(z – 8)

3.   Divide: 81x³(50x² – 98) by 27x² (5x + 7)

4.   Which of the following is the remainder when z(5z² – 80) is divided by 5z(z – 4):

          (a) z + 4

          (b) Z – 4

          (c) 5

          (d) 0

5.   Which of the following is the quotient when 44(x⁴ – 5x³ – 24x²) is divided by 22x(x – 8):

        (a) X(x + 3)

         (b) 2x(x + 3)

         (c) 2(x – 3)

         (d) x(x – 3)

6.   Which of the following is factorization of (1 – x²)

        (a) (1 + x) (1 + x)

        (b) (1 – x) (1 – x)

        (c) (1 – x) (1 + x)

        (d) none of these

7.   By which of the following a⁴ – b⁴ be divided to get quotient (a² + b²) (a – b) and, remainder as 0.

        (a) a² + b²

        (b) a – b

        (c) a + b

        (d) a² – b²

8.   Is (a – 1) (b – 1) the factorisation of (ab – a – b +1) or (ab – a + b – 1)?