On dividing x3 - 3x2 + x + 2 by a polynomial g(x), the quotient and remainder we
X-2 and -2x + 4, respectively. Find g(x).solve it full step by step
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Answered by
2
Answer:
x²-x+1
Step-by-step explanation:
dividend=f(x)
divisor =g(x)
dividend = divisor×quotient +remainder
x³-3x²+x+2=g(x)×(x-2)-2x+4
g(x)×(x-2)=x³-3x²+x+2+2x-4
transposition of-2x+4 was done
x³-3x²+3x-2=g(x) ×(x-2)
g(x)=x³-3x²+3x-2/x-2
g(x)=x²-x+1
hope you got it
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Answered by
1
Answer:
Step-by-step explanation:
dividend=f(x)
divisor =g(x)
dividend = divisor×quotient +remainder
x³-3x²+x+2=g(x)×(x-2)-2x+4
g(x)×(x-2)=x³-3x²+x+2+2x-4
transposition of-2x+4 was done
x³-3x²+3x-2=g(x) ×(x-2)
g(x)=x³-3x²+3x-2/x-2
g(x)=x²-x+1
hope you got it
please mark me the brainliest
if wrong I apologize
rate1/5 if wrong but at least tate me
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