The set of polynomials is closed under the operation of subtraction.
a: which equations illu...
Mathematics, 20.09.2019 07:30, dondre54
The set of polynomials is closed under the operation of subtraction.
a: which equations illustrate this concept?
b: which statements correctly explain this concept?
there may be more than one correct answer for each question. select all correct answers for each question.
a:
(3x+4)+(5xβ5)=8xβ1
(3x+4)+(5xβ5)=8xβ1
a:
(3xβ4)β(2x+2)=xβ6
(3xβ4)β(2x+2)=xβ6
b: the product of the polynomials
(3x)
(3x)
and
(2x+2)
(2x+2)
is a polynomial,
6
x
2
+6x
6x2+6x
, which shows there is closure under subtraction.
a:
(3x)(2x+2)=6
x
2
+6x
(3x)(2x+2)=6x2+6x
b: the difference of the polynomials
(3xβ4)
(3xβ4)
and
(2x+2)
(2x+2)
is a polynomial,
xβ6
xβ6
, which shows there is closure under subtraction.
b: the sum of the polynomials
(3x+4)
(3x+4)
and
(5xβ5)
(5xβ5)
is a polynomial,
8xβ1
8xβ1
, which shows there is closure under subtraction.
b: the difference of the polynomials
(xβ2)
(xβ2)
and
(3x+1)
(3x+1)
is a polynomial,
β2xβ3
β2xβ3
, which shows there is closure under subtraction.
a:
(xβ2)β(3x+1)=β2xβ3
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