-- . The polynomial which is divided by (x + 2) gives (3x - 1) as quotient and - 5 as remainder is
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The polynomial which is divided by (x+2) gives (3x-1) as quotient and -5 as remainder is 3x²+5x-7.
Step-by-step explanation:
It is given that quotient is 3x-1,
the divisor is x+2,
and the remainder is -5.
We know the dividend is the product of the quotient and divisor and add the remainder to it. that is
Dividend = (quotient × divisor) + remainder
here, the Polynomial = (3x-1) (x+2) + (-5)
that is (3x-1)(x+2)-5 = (3x²+6x-x-2)-5
= 3x²+5x-2-5
= 3x²+5x-7
thank you
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