Answer :
The sum of (5x^2 - 8x + 1) and (2x^2 - 4x - 11) is 7x^2 - 12x - 10.
To add the polynomials (5x^2 - 8x + 1) and (2x^2 - 4x - 11), we align the terms based on their degrees (exponents). Then, we add the coefficients of the like terms.
The like terms in this case are the ones with the same degree of x. We have:
(5x^2 + 2x^2) + (-8x - 4x) + (1 - 11)
Adding the coefficients of the like terms, we get:
7x^2 - 12x - 10
Therefore, the sum of the two polynomials is 7x^2 - 12x - 10.
It's important to combine like terms and maintain the correct sign of each term when performing addition or subtraction of polynomials. By aligning the terms correctly and adding the coefficients, we can simplify the expression and obtain the final result.
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** Complete Question is:
algebra 1 10.1 worksheet adding and subtracting polynomials answers key
(5x2 - 8x + 1) + (2x2 - 4x - 11) **
