The sum is 4x³ + 3x² + 2x – 6.
Solution:
The correct question is given below.
(4x³ – 2x² + 3x – 1) + (5x² – x – 5). What is the sum?
To find the sum of the polynomial:
Sum of (4x³ – 2x² + 3x – 1) and (5x² – x – 5)
= (4x³ – 2x² + 3x – 1) + (5x² – x – 5)
Remove the parentheses.
= 4x³ – 2x² + 3x – 1 + 5x² – x – 5
Group like terms together.
= 4x³ – 2x² + 5x² + 3x – x – 1 – 5
Add the similar elements. i.e the element with same power.
= 4x³ + 3x² + 2x – 1 – 5
Subtract the constant terms.
= 4x³ + 3x² + 2x – 6
The sum is 4x³ + 3x² + 2x – 6.
