Question

Use the long division method to find the result when 2 x 3 + 7 x 2 + 14 x + 12 2x 3 +7x 2 +14x+12 is divided by 2 x + 3 2x+3

Answer 1

Answer:

2 x 3 + 7 x 2 + 14 x + 12÷ 2x+ 3 = x² +2x+ 4  

Step-by-step explanation:

We multiply the first term 2x of the divisor with a term ( quotient) to get the first term of the dividend. Then we multiply the same term with each term of the divisor  and subtract it from the dividend. The process continues unless we get the zero or a much smaller number than the dividend as the remainder

               x² +2x+ 4                        

2x+3    ║2 x 3 + 7 x 2 + 14 x + 12

               2x³ + 3x²

                 -      -      

                         4x² +14x+12

                          4x²+ 6x

                        -        -      

                                   8x+12

                                     8x+12      

                                   -        -  

                                     0