Find the sum of -x^(2)-6x+10 and 5x^(2)-4. Answer:

Write Polynomials: Write down the polynomials to be added. The first polynomial is -x^(2)-6x+10, and the second polynomial is 5x^(2)-4.Align Like Terms: Align the like terms from both polynomials. (-x^(2)-6x+10) + (5x^(2)-4)Combine Like Terms: Combine the like terms. (-x^(2) + 5x^(2)) + (-6x) + (10 - 4)Add Coefficients: Perform the addition of the coefficients of like terms. (-1 + 5)x^(2) - 6x + (10 - 4)Simplify Expression: Simplify the expression to find the sum of the two polynomials. (4)x^(2) - 6x + 6

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Find the sum of
-x^(2)-6x+10 and
5x^(2)-4.
Answer:

Find the sum of $-x^{2}-6 x+10$ and $5 x^{2}-4$ . $\newline$ Answer:

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Algebra 2

Add and subtract polynomials

Full solution

Q. Find the sum of

-x^{2}-6 x+10

and

5 x^{2}-4

\newline

Answer:

Write Polynomials: Write down the polynomials to be added. $\newline$ The first polynomial is $-x^{2}-6x+10$ , and the second polynomial is $5x^{2}-4$ .
Align Like Terms: Align the like terms from both polynomials. $\newline$ $(-x^{2}-6x+10) + (5x^{2}-4)$
Combine Like Terms: Combine the like terms. $\newline$ $(-x^{2} + 5x^{2}) + (-6x) + (10 - 4)$
Add Coefficients: Perform the addition of the coefficients of like terms. $(-1 + 5)x^{2} - 6x + (10 - 4)$
Simplify Expression: Simplify the expression to find the sum of the two polynomials. $(4)x^{(2)} - 6x + 6$