Find the quotient the and remainder of the following division:
$(2 x^{2} - 3 x - 14) \div (x + 2)$

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Solution

Steps:
1) Multiply $(x + 2)$ with $2 x$ , to get $2 x^{2}$ , Remainder $= - 7 x - 14$
2)Multiply $(x + 2)$ with $- 7$ , to get $- 7 x - 14$ , Remainder $= 0$
Quotient $= 2 x - 7$ , Remainder $= 0$

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