Question

Which of the following shows that polynomials are closed under subtraction when polynomial 5x − 6 is subtracted from 3x2 − 6x + 2? 3x2 − 11x + 8 may or may not be a polynomial. 3x2 − 11x + 8 will be a polynomial. 3x2 − x + 4 may or may not be a polynomial. 3x2 − x + 4 will be a polynomial.

Answer 1

Answer:

When we subtract polynomials, we combine like terms: 3x is the only x term we have

We have -6x and subtract 5x from it: this gives us -11x. We have 2 and subtract -6 from it when we subtract a negative, we add the opposite, which means we have 2-6=2468.

This gives us 3x21x+8. This is a polynomial, since it is made of monomials (none of the terms have a negative exponent or a radical sign)

Step-by-step explanation:

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