1.

Find the quotient and remainder x²+7+12+(x+3)​

Answer»

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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