Final answer:
To find the sum of the two given polynomials, you add corresponding terms from each polynomial. The sum of 2x2 + 5x + 7 and -10x2 - 7x + 1 is -8x2 - 2x + 8.
Step-by-step explanation:
In Mathematics, when we are asked to find the sum of two polynomials, we can simply add the corresponding terms together. The given polynomials are 2x2 + 5x + 7 and -10x2 - 7x + 1. We add the similar terms from each polynomial to get the sum:
Step 1: Add the x2 terms together:
2x2 + (-10x2) = -8x2
Step 2: Add the x terms together:
5x + (-7x) = -2x
Step 3: Add the constant terms together:
7 + 1 = 8
So, the sum of the two polynomials 2x2 + 5x + 7 and -10x2 - 7x + 1 is -8x2 - 2x + 8.
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