Answer:
Subtracting the polynomials we will get: [tex]\mathbf{-4x^2-4x+5}[/tex]
Step-by-step explanation:
We need to u se a vertical format to subtract the polynomials.
The polynomials given are:
[tex]3x^2 - 2x + 2\\- (7x^2 + 2x - 3)[/tex]
Now, solving
For, subtraction, the sign of the terms [tex]7x^2 + 2x - 3[/tex] 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)
[tex]3x^2 - 2x + 2\\- (7x^2 + 2x - 3)\\\\:\:\:\:\:\:\:-\:\:\:\:-\:\:\:\:\:+\\-----------\\-4x^2-4x+5[/tex]
So, Subtracting the polynomials we will get: [tex]\mathbf{-4x^2-4x+5}[/tex]
