What is the quotient when (x+3) is divided into the polynomial 2x^2+x-15 a) 2x-5 with no remainder b) x+3 with remainder of -2 c) 2x-3 with a remainder of 5 d) 2x+1 with no remainder

The correct option is A. 2x - 5 with no remainder

Step-by-step explanation:

The polynomial is given to be : 2x² + x - 15

And the divisor is given to be : (x + 3)

Now, Using divide rule of polynomials

x + 3 ) 2x² + x - 15 ( 2x - 5

          2x² + 6x

         -       -    

          - 5x - 15

          - 5x - 15

         +       +

                 0

Hence, The quotient is 2x - 5 and the remainder is 0

Therefore, The correct option is A. 2x - 5 with no remainder

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step-by-step explanation: