Asked by Vansh Agarwal on May 15, 2024
Verified
Find the sum (−9x2−8x+12) +(−2x3−5x2−12) \left( - 9 x ^ { 2 } - 8 x + 12 \right) + \left( - 2 x ^ { 3 } - 5 x ^ { 2 } - 12 \right) (−9x2−8x+12) +(−2x3−5x2−12) .
A) −2x3−14x2−8x- 2 x ^ { 3 } - 14 x ^ { 2 } - 8 x−2x3−14x2−8x
B) −11x5−13x3- 11 x ^ { 5 } - 13 x ^ { 3 }−11x5−13x3
C) −24x8- 24 x ^ { 8 }−24x8
D) −11x5−13x3+24- 11 x ^ { 5 } - 13 x ^ { 3 } + 24−11x5−13x3+24
E) −11x3−13x2+24- 11 x ^ { 3 } - 13 x ^ { 2 } + 24−11x3−13x2+24
Sum
The outcome obtained by summing two or more numbers or amounts.
Expression
A combination of symbols and operators representing a mathematical value or relationship.
X
A common symbol used to represent a variable or an unknown value in mathematics.
- Perform operations on polynomial expressions, including addition, subtraction, and simplification.
Verified Answer
LK
Leslie KalckMay 20, 2024
Final Answer :
A
Explanation :
To find the sum, combine like terms: −2x3-2x^3−2x3 from the second polynomial, (−9x2−5x2)=−14x2(-9x^2 - 5x^2) = -14x^2(−9x2−5x2)=−14x2 , −8x-8x−8x as is since there's no other xxx term to combine with, and 12−12=012 - 12 = 012−12=0 , so the constant term cancels out.
Learning Objectives
- Perform operations on polynomial expressions, including addition, subtraction, and simplification.