find the quotient and remainder x²+7+12+(x+3)
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Answer:
Let us first factorize the numerator of the given division
x+3
x
2
+7x+12
as follows:
x
2
+7x+12
=x
2
+4x+3x+12
=x(x+4)+3(x+4)
=(x+3)(x+4)
Since we have to divide
x+3
x
2
+7x+12
, therefore, we will divide
x+3
(x+3)(x+4)
as shown below:
x+3
(x+3)(x+4)
=x+4
Hence,
x+3
x
2
+7x+12
=x+4.
Step-by-step explanation:
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