The operation you are asked to perform is the addition of two polynomials: (-7x^(2) + 3x - 10) + (-6x^(2) - 10x + 3) To solve this, you need to combine like terms. Like terms are terms that have the same variable(s) raised to the same power(s). In this case, the terms with the same variable raised to the same power are: -7x^(2) and -6x^(2) (these are like terms because they both have x squared) 3x and -10x (these are like terms because they both have x) First, add the coefficients of like terms: -7x^(2) + (-6x^(2)) = -13x^(2) 3x + (-10x) = -7x Then, combine the constant terms: -10 + 3 = -7 So, the final result of the addition of the two polynomials is:
=-13x^(2) - 7x - 7.
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