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Which property of polynomial subtraction says that the difference of two polynomials is always a polynomial?
The property that states the difference of two polynomials is always a polynomial is known as the closure property of polynomials. This property indicates that when you subtract one polynomial from another, the result remains within the set of polynomials. This is because polynomial operations (addition, subtraction, and multiplication) preserve the degree and structure of polynomials. Thus, the difference of any two polynomials will also be a polynomial.
Is 4 - 3x plus 5x2 a polynomial?
Yes. If you add, subtract or multiply (but not if you divide) any two polynomials, you will get a polynomial.
Putting mathematical terms in descending order?
evaluating polynomials
Are polynomials closed under the operations of subtraction addition and multiplication?
Yes, polynomials are closed under the operations of addition, subtraction, and multiplication. This means that when you add, subtract, or multiply two polynomials, the result is always another polynomial. For example, if ( p(x) ) and ( q(x) ) are polynomials, then ( p(x) + q(x) ), ( p(x) - q(x) ), and ( p(x) \cdot q(x) ) are all polynomials as well. However, polynomials are not closed under division, as dividing one polynomial by another can result in a non-polynomial expression.
What is the correct order in which polynomials be always written?
put the variable that has the highest degree first.
Polynomials have factors that are?
Other polynomials of the same, or lower, order.
Which property of polynomial subtraction says that the difference of two polynomials is always a polynomial?
The property that states the difference of two polynomials is always a polynomial is known as the closure property of polynomials. This property indicates that when you subtract one polynomial from another, the result remains within the set of polynomials. This is because polynomial operations (addition, subtraction, and multiplication) preserve the degree and structure of polynomials. Thus, the difference of any two polynomials will also be a polynomial.
Why do you think it is important to know how to find the common denominator of two rational polynomials?
You need to find the common denominator in order to add or subtract them. You can only add or subtract "like things" and by finding a common denominator you make both rational expressions into things that can be added or subtracted.
Is 4 - 3x plus 5x2 a polynomial?
Yes. If you add, subtract or multiply (but not if you divide) any two polynomials, you will get a polynomial.
Polynomials are written with the exponents of the terms in order?
descending
What are the rules of subtracting polynomials?
You subtract a polynomial by adding its additive inverse. For example, subtracting (x - y) is the same as adding (-x + y). Alternately, you can simply subtract similar terms - that is, subtract the coefficients (the numbers) for terms that have the same combination of variables.
Putting mathematical terms in descending order?
evaluating polynomials
What operations are polynomials closed under?
+,-,X only
Are polynomials closed under the operations of subtraction addition and multiplication?
Yes, polynomials are closed under the operations of addition, subtraction, and multiplication. This means that when you add, subtract, or multiply two polynomials, the result is always another polynomial. For example, if ( p(x) ) and ( q(x) ) are polynomials, then ( p(x) + q(x) ), ( p(x) - q(x) ), and ( p(x) \cdot q(x) ) are all polynomials as well. However, polynomials are not closed under division, as dividing one polynomial by another can result in a non-polynomial expression.
Polynomials are written with the exponents of the terms in what type of order?
descending form
What is the sequence of 425 -50?
475
How is adding polynomials the same as subtracting polynomials?
just add the negative of the polynomial, that is the same as subtracting it. For example, x^2+2x is a poly, the negative is -x^2-2x. So if we want to subtract x^2+2x from another poly, we can add the negative instead.
