18. Without actual division, show that (x-3x - 13x +15) is exactly
divisible by (x2 + 2x - 3).
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Answer:
(x²-3x-13x+15)/(x²+2x-3)
x²-16x+15/x²+2x-3
x²-15x-x+15/x²+3x-x-3
x(x-15)-1(x-15)/x(x+3)-1(x+3)
(x-1)(x-15)/x+3)(x-1)
x-15/x+3
x=15/x= - 3
15/-3
= - 5
Therefore, we can say this is exactly divisible by this. For Quotient = - 5
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