Factorization-Sample Questions

Class VIII Math
Sample Paper for Factorisation
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)?