Q1. If x-4 is a factor of x2 -5x2 - px + 24, find
the value of p.
Q2. If x-3 is a factor of k”xº-kr? + 3kx-k, find
the value of k. (k = 0)
Q3. Without performing the long division, show
that 3x4 + 4x3-12x2 - x - 30 is a multiple of
x²+x-6.
Q4. Factorise :
(1) 10x2 + 7x +1 (2) 5x2 - 18x - 8
(3) 6x² + 13x + 6 (4) 12x2 + x-6
(5) 2x2 - 9x - 35
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Answer:
Q4. (5) _ 2x² - 9x -35
=2x² - 14x + 5x - 35
= 2x(x -7) + 5 ( x - 7)
= ( x - 7) ( 2x + 5)
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