Respuesta :
The correct answer is that 3x²-11x+8 will be a polynomial.
Explanation:
When we subtract polynomials, we combine like terms:
3x² is the only x² 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=2+6=8.
This gives us 3x²-11x+8. This is a polynomial, since it is made of monomials (none of the terms have a negative exponent or a radical sign).
Explanation:
When we subtract polynomials, we combine like terms:
3x² is the only x² 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=2+6=8.
This gives us 3x²-11x+8. This is a polynomial, since it is made of monomials (none of the terms have a negative exponent or a radical sign).
Answer:
option (b) is correct.
we get a polynomial [tex]3x^2-11x+8[/tex]
Step-by-step explanation:
Given : Polynomial 5x -6 and [tex]3x^2-6x+2[/tex].
We have to choose out of given options which shows that polynomials are closed under subtraction when polynomial 5x − 6 is subtracted from [tex]3x^2-6x+2[/tex].
We first subtract the polynomial
[tex]\Rightarrow 3x^2-6x+2-(5x-6))[/tex]
[tex]\Rightarrow 3x^2-6x+2-5x+6[/tex]
similar terms are terms having same variables with same degree.
Here, -6x and -5x are similar
and 2 and 6 are similar.
Adding similar terms, we get,
[tex]\Rightarrow 3x^2-11x+8[/tex]
Polynomial is an algebraic expression that can involves variables with non negative integer terms and constants.
Thus, we get a polynomial [tex]3x^2-11x+8[/tex]
Hence, option (b) is correct.
