What is the missing polynomial? _ - (20 - 4x - 5x²) = 20 - 7x²

Solution:

Polynomials are algebraic expressions that consist of variables and coefficients.

Variables are also sometimes called indeterminates.

Let the missing polynomial be a.

Given, a - (20 - 4x - 5x²) = 20 - 7x²

On rearranging,

a - 20 + 4x + 5x² = 20 - 7x²

Grouping of common terms,

a = 20 - 7x² - 5x² - 4x + 20

So we get

a = 40 - 12x² - 4x

On rearranging

a = 40 - 4x - 12x²

Therefore, the missing polynomial is 40 - 4x - 12x².

What is the missing polynomial? _ - (20 - 4x - 5x²) = 20 - 7x²

Summary:

The missing polynomial in ? - (20 - 4x - 5x²) = 20 - 7x² is 40 - 4x - 12x².