what is the missing polynomial?\n? - (20 - 4x - 5x^2) = 20 - 7x^2\n4x - 12x^2\n4x - 2x^2\n40 - 4x…

what is the missing polynomial?\n? - (20 - 4x - 5x^2) = 20 - 7x^2\n4x - 12x^2\n4x - 2x^2\n40 - 4x - 12x^2\n40 - 4x - 2x^2

what is the missing polynomial?\n? - (20 - 4x - 5x^2) = 20 - 7x^2\n4x - 12x^2\n4x - 2x^2\n40 - 4x - 12x^2\n40 - 4x - 2x^2

Answer

Explanation:

Step1: Isolate the missing polynomial

Let the missing polynomial be (P). We have (P-(20 - 4x-5x^{2})=20 - 7x^{2}). Then (P=(20 - 7x^{2})+(20 - 4x-5x^{2})).

Step2: Combine like - terms

Combine the constant terms: (20 + 20=40). Combine the (x^{2}) - terms: (-7x^{2}-5x^{2}=-12x^{2}). The (x) - term remains (-4x). So (P = 40-4x - 12x^{2}).

Answer:

(40 - 4x-12x^{2}) (the third option)