If the expression px3 – 2x2 – qx + 18 is completely divisible by (x2 – 9), then what is the ratio between p and q respectively?
A) 1:9 B) 1:3 C) 3:1 D) 9:1
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Step-by-step explanation:
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Step-by-step explanation:
Expression : f(x) = pr3 – 2x2 divisible by (a2– 9)
=> x2– 9 = 0
=> x2 = 9
=> x = V9 =3
Thus, f(3) = 0 =
=> p(3)3 – 2(3)2 – (3) + 18 = 0
=> 27p 18 3q+ 18 = 0
=> 27p = 3q
=> p/q =1/9
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