Question

Use a vertical format to subtract the polynomials.
3x2 - 2x + 2
- (7x2 + 2x - 3)

Answer 1

Subtracting the polynomials we will get:
`\mathbf{-4x^2-4x+5}`

Explanation:

We need to u se a vertical format to subtract the polynomials.

The polynomials given are:

`3x^2 - 2x + 2\\- (7x^2 + 2x - 3)`

Now, solving

For, subtraction, the sign of the terms
`7x^2 + 2x - 3` will be changed. - will convert to + because (-)(-) = + and positive sign will be converted to negative (-)(+) = -

The sign with the resulting term will be the sign of term that has greater coefficient. For example if we are subtracting 3x^2 and (-7x^2), the result will be -4x^2 because 7 has negative sign. (term has greater coefficient)

`3x^2 - 2x + 2\\- (7x^2 + 2x - 3)\\\\:\:\:\:\:\:\:-\:\:\:\:-\:\:\:\:\:+\\-----------\\-4x^2-4x+5`

So, Subtracting the polynomials we will get:
`\mathbf{-4x^2-4x+5}`