-5x^5 - 3x^2 - 4x + 7
Step-by-step explanation:
To add the polynomial, we would collect like terms:
For constant = + 3 + (+4)
Multiplication of same sign gives positive number
3 + 4 = + 7
For x:
-2x + (-2x)
Multiplication of opposite signs give negative number.
= -2x - 2x = -4x
For x^2:
-4x^2 + (+x^2) = -4x^2 + x^2
= -3x^2
for x^3:
5x^3 + (-5x^3)
Multiplication of opposite signs give negative number.
= 5x^3 - 5x^3
= 0
we have only 1 term for x^5:
-5x^5 + 0 = -5x^5
combining the term together:
+7 - 4x - 3x^2 + 0 - 5x^5
= 7 - 4x - 3x^2 - 5x^5
In descending order:
-5x^5 - 3x^2 - 4x + 7