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

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x