on dividing 3xcube +xsquare +2x+6 by a polynomial g(x)the quotient and the remainder are (3x-5)and (3x+21) respectively. find the g(x)
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ACC to Euclid division method
Let 3x^3+ x^2+2x+6 = fx
fx = gx (q) + r
3x^3+x^2+2x+6 = gx(3x-5) + (3x+21)
3x^3+x^2+2x+6-3x-21= gx (3x-5)
3x^3+x^2-x-15 = gx (3x-5)
gx = 3x^3+x^2-x -15/3x-5
gx = x^2+2x+3
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Answer:
g(x)= x^2+2x+3
Step-by-step explanation:
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