3x^4−6x^2+4x−9
+5x^4+3x^2+10x+2
--------------------------
8x^4−3x^2+14x−7
Is this right?
3x^4−6x^2+4x−9+5x^4+3x^2+10x+2
(5+3)x^4 +(-6+3)x^2 +(10+4)x+(2-9) as I see it, so it does match yours
oh thank you for checking it!
To check if the sum of the two polynomials is correct, we can perform the addition step by step and compare the result with the provided expression.
First, we add the coefficients of the same degree terms together. Let's start with the coefficients of the fourth degree terms:
3x^4 + 5x^4 = 8x^4
Next, we move on to the coefficients of the second degree terms:
-6x^2 + 3x^2 = -3x^2
Then, we add the coefficients of the first degree (linear) terms:
4x + 10x = 14x
Finally, we add the constant terms:
-9 + 2 = -7
Putting it together, the sum of the two polynomials is:
8x^4 - 3x^2 + 14x - 7
By comparing the result with the provided expression, we can see that they are indeed the same. Therefore, the polynomial expression you provided for the sum is correct.