Find the quotient and the remainder

Question

6x2+27x+16

      x+4

Answer 1

Hello Jordyn!

 

To answer this question, you have to do long division of the polynomials:

 

                  6x+3 R4

x+4 √6x²+27x+16 

        -6x²+24x

                  3x+16

                 -3x+12

                         4   

 

Now, lets do the reverse function (multiplication) to see if our answer is correct:

 

(x+4)(6x+3)+4

 

6x²+3x+24x+12+4

 

6x²+27x+16

 

Yup, it works!