what is the missing polynomial?\n$? - (20 - 4x - 5x^2) = 20 - 7x^2$\n$4x-12x^2$\n$4x-2x^2$\n$40-4x-12x^2$\n$4…

what is the missing polynomial?\n$? - (20 - 4x - 5x^2) = 20 - 7x^2$\n$4x-12x^2$\n$4x-2x^2$\n$40-4x-12x^2$\n$40-4x-2x^2$

what is the missing polynomial?\n$? - (20 - 4x - 5x^2) = 20 - 7x^2$\n$4x-12x^2$\n$4x-2x^2$\n$40-4x-12x^2$\n$40-4x-2x^2$

Answer

Explanation:

Step1: Let missing polynomial be $P$

Let the unknown polynomial be $P$. The equation becomes: $$P - (20 - 4x - 5x^2) = 20 - 7x^2$$

Step2: Isolate $P$ by moving terms

Rearrange to solve for $P$ by adding $(20 - 4x - 5x^2)$ to both sides: $$P = (20 - 7x^2) + (20 - 4x - 5x^2)$$

Step3: Combine like terms

Group and combine constant terms, $x$-terms, and $x^2$-terms:

  • Constants: $20 + 20 = 40$
  • $x$-terms: $0 - 4x = -4x$
  • $x^2$-terms: $-7x^2 - 5x^2 = -12x^2$

Combine these results: $$P = 40 - 4x - 12x^2$$

Answer:

40−4x−12x²