Question

Rewrite each expression as a polynomial in standard form: (2x^2 − x^3 − 9x +1) − (x^3 +7x − 3x^2 +1)

Answer 1

Polynomial in standard form will be
`-2x^3+5x^2-16x`

Explanation:

We have given polynomial
`2x^2-x^3-9x+1-(x^3+7x-3x^2+1)`

We have to write this polynomial in standard form

For writing in standard form we have to first subtract the polynomial and then rearrange the order

So
`2x^2-x^3-9x+1-(x^3+7x-3x^2+1)=2x^2-x^3-9x+1-x^3-7x+3x^2-1=-2x^3+5x^2-16x`

So polynomial in standard form will be
`-2x^3+5x^2-16x`