Check whether p(x) is a multiple of g(x) or not
(i) p(x) = x3 – 5x2 + 4x – 3, g(x) = x – 2.
(ii) p(x) = 2x3 – 11x2 – 4x+ 5, g(x) = 2x +1
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Answer:
first answer is 1 and second answer is -13
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1. p(x) = x3-5x2+4x-3
p(x) = x-2( let be)
x-2=0
x= 0+2=2
p(x) = 2
p(2) =(2) 3-5(2) 2+4(2) -3
p(2) = 6-20+8-3
p(2) = -9
2. p(x) = 2x3-11x2-4x+5
p(x) = 2x+1( let be)
= 2x+1=0
2x= 0-1=1
x= 1/2
p(1/2) = 2(1/2) 3-11(1/2) 2-4(1/2) +5
p(1/2) = -5
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