Q. Perform the operation.(−x2+x+5)+(−3x2+10x+3)Answer:
Identify polynomials: Identify the polynomials to be added.The first polynomial is (−x2+x+5) and the second polynomial is (−3x2+10x+3). We need to add these two polynomials together.
Align and add terms: Align the like terms and add the polynomials.(−x2+x+5)+(−3x2+10x+3)Combine the x2 terms, the x terms, and the constant terms.(−x2−3x2)+(x+10x)+(5+3)
Perform addition: Perform the addition of like terms.(−1−3)x2+(1+10)x+(5+3)Simplify each group of like terms.−4x2+11x+8