2. Using the remainder theorem, show that the polynomial p(x) = 3x^4 – 4x^3 – 3x + 4 is a multiple of x – 1.
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Answer:
p(x)=0
explanation steps
g(x)=x-1=0
g(x)=x=1
p(x)=3x^4-4x^3-3x+4
substitute 1 in the place of x
p(x)= 3(1)^4- 4(1)^3-3(1)+4
p(x)= 3-4-3+4=0
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