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

Find the sum of −x2−6x+10 -x^{2}-6 x+10 and 5x2−4 5 x^{2}-4 .\newlineAnswer:

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Full solution

Q. Find the sum of −x2−6x+10 -x^{2}-6 x+10 and 5x2−4 5 x^{2}-4 .\newlineAnswer:
  1. Write Polynomials: Write down the polynomials to be added.\newlineThe first polynomial is −x2−6x+10-x^{2}-6x+10, and the second polynomial is 5x2−45x^{2}-4.
  2. Align Like Terms: Align the like terms from both polynomials.\newline(−x2−6x+10)+(5x2−4)(-x^{2}-6x+10) + (5x^{2}-4)
  3. Combine Like Terms: Combine the like terms.\newline(−x2+5x2)+(−6x)+(10−4)(-x^{2} + 5x^{2}) + (-6x) + (10 - 4)
  4. Add Coefficients: Perform the addition of the coefficients of like terms. (−1+5)x2−6x+(10−4)(-1 + 5)x^{2} - 6x + (10 - 4)
  5. Simplify Expression: Simplify the expression to find the sum of the two polynomials. (4)x(2)−6x+6(4)x^{(2)} - 6x + 6

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