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Use synthetic division to solve (x cubed minus x squared minus 17 x minus 15) divided by (x minus 5). What is the quotient?
x squared + 4 x + 3
x squared minus 6 x + 13 minus StartFraction 80 Over x minus 5 EndFraction
x cubed + 4 x squared + 3 x
x squared minus 6 x + 13 minus StartFraction 80 Over x + 5 EndFraction

Respuesta :

Answer: A

Step-by-step explanation:

shubhamchouhanvrVT

The quotient is x² + 4x +3. Then the correct option is A.

What is the quotient?

A quotient in mathematics is the amount created by dividing two numbers. In mathematics, the term "quotient" is frequently used to refer to the integer portion of a division, as well as to a fraction or a ratio.

The quotient is calculated as:-

x - 5 ) x³ - x² - 17x -15 ( x² + 4x + 3

         -x³  + 5x²

      _________________

          4x² - 17x - 15

         -4x² + 20x

       _________________

                   3x -15

                 -3x + 15

       _________________

                         0

Hence, the quotient is  x² + 4x +3.

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