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Perform the operation. (x+9)+(3x^(2)+4x-2) Answer:

Perform the operation.\newline(x+9)+(3x2+4x−2) (x+9)+\left(3 x^{2}+4 x-2\right) \newlineAnswer:

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Add and subtract polynomialsright chevron icon

Full solution

Q. Perform the operation.\newline(x+9)+(3x2+4x−2) (x+9)+\left(3 x^{2}+4 x-2\right) \newlineAnswer:
  1. Identify Polynomials: Identify the polynomials to be added.\newlineWe have two polynomials: (x+9)(x+9) and (3x2+4x−2)(3x^{2}+4x-2). We need to add them together.
  2. Align Degrees: Align the polynomials according to their degree.\newlineThe first polynomial is of degree 11, and the second polynomial is of degree 22. We write them in a way that aligns like terms:\newline(0x2+1x+9)+(3x2+4x−2)(0x^{2} + 1x + 9) + (3x^{2} + 4x - 2)
  3. Add Like Terms: Add the like terms.\newlineWe add the coefficients of the x2x^{2} terms, the xx terms, and the constant terms separately:\newline(0x2+3x2)+(1x+4x)+(9−2)(0x^{2} + 3x^{2}) + (1x + 4x) + (9 - 2)
  4. Perform Addition: Perform the addition.\newlineNow we combine the like terms:\newline(0+3)x2+(1+4)x+(9−2)(0 + 3)x^{2} + (1 + 4)x + (9 - 2)\newline3x2+5x+73x^{2} + 5x + 7

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