c) First, we set them equal to each other to see for any value x it is true.
By setting each expresstion equal to each other, we have 6x3+9x2+4x+72x+3=3x2+2+12x+3.multiplying by 2x+3 on each side gets us 6x3+9x2+4x+7=3x2(2x+3)+2(2x+3)+1.Simlifying the right hand side leaves us with 6x3+9x2+4x+7=6x3+9x2+4x+6+1. As you can see, we end up with0=0,witch is a true equation, and therefore any value of x works. But, a fraction can not be diuvvide by zero, and if x=-2/3, plugged into 2x+3, makes you didvide by zero. so, All values of x work except for -3/2.