Identify Polynomials: Identify the polynomials to be added.We have two polynomials: (x+9) and (3x2+4x−2). We need to add them together.
Align Degrees: Align the polynomials according to their degree.The first polynomial is of degree 1, and the second polynomial is of degree 2. We write them in a way that aligns like terms:(0x2+1x+9)+(3x2+4x−2)
Add Like Terms: Add the like terms.We add the coefficients of the x2 terms, the x terms, and the constant terms separately:(0x2+3x2)+(1x+4x)+(9−2)
Perform Addition: Perform the addition.Now we combine the like terms:(0+3)x2+(1+4)x+(9−2)3x2+5x+7