Can two polynomials be subtracted such that the difference is a binomial? If so, give an example. If not, explain.

Options:
No.
Yes, (3b+3)-(b+a+3)
Yes, (3b^2-3b)-(b+a+3)

1 answer

Yes, two polynomials can be subtracted such that the difference is a binomial. The example given is:
(3b+3) - (b+a+3)

Simplifying the expression, we get:
3b + 3 - b - a - 3

Combining like terms:
2b - a

The simplified expression, 2b - a, is a binomial.