The polynomials are closed under subtraction when polynomial (5x^2 +2x − 6) − (3x^2 − 6x+ 2), are subtracted [tex]\rm 2x^2+ 8x - 8[/tex] will be a polynomial.
Polynomial is an algebraic expression that can involve variables with nonnegative integer terms and constants.
Given
Two polynomials, (5x2 2x − 6) − (3x2 − 6x 2), are subtracted.
Similar terms are terms having the same variables with the same degree.
Therefore,
The polynomials are closed under subtraction when polynomial (5x^2 +2x − 6) − (3x^2 − 6x+ 2), are subtracted;
[tex]\rm= (5x^2 +2x - 6) -(3x^2 - 6x+ 2)\\\\=5x^2+2x-6-3x^2+6x-2\\\\= 2x^2+8x-8[/tex]
Hence, the polynomials are closed under subtraction when polynomial (5x^2 +2x − 6) − (3x^2 − 6x+ 2), are subtracted [tex]\rm 2x^2+ 8x - 8[/tex] will be a polynomial.
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