Find the remainder using remainder theorem. Dividend is x² + 5x - 6 and divisor is (x-3)
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Answer:
We divide the given polynomial x
2
+5x+6 by the monomial x+2 as shown below:
x+2
x
2
+5x+6
=
x+2
x
2
+3x+2x+6
=
x+2
x(x+3)+2(x+3)
=
x+2
(x+2)(x+3)
=x+3
Hence,
x+2
x
2
+5x+6
=x+3.
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