Rewrite the following polynomial in standard form.
-5x^2 + 10 + x - x^4
-x^4 - 5x^2 + x + 10
Determine if the expression 3r^5 + 8r^3 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.
Answer Attempt 1 out of 3
The given expression blank a polynomial.
The given expression 3r^5 + 8r^3 is a polynomial. It is a binomial since it consists of two terms. The degree of the polynomial is 5, which is determined by the highest exponent of the variable, r.
Does it represent or does it not represent a polynomial?
Apologies for the incorrect response. The expression 3r^5 + 8r^3 does represent a polynomial. The type of polynomial is a binomial, as it consists of two terms. The degree of the polynomial is 5, which is determined by the highest exponent of the variable, r.
Perform the operation.
(-6x - 2) + (6х^2 - 5х — 10)
To perform the operation, we add the like terms together:
(-6x - 2) + (6x^2 - 5x - 10)
Combining like terms, we have:
6x^2 - 6x - 5x - 2 - 10
Simplifying further:
6x^2 - 11x - 12
Find the sum of 4x^2 - 8x and -x^2 - 6x + 8.
To find the sum, we add the like terms together:
(4x^2 - 8x) + (-x^2 - 6x + 8)
Combining like terms, we have:
4x^2 + (-x^2) - 8x + (-6x) + 8
Simplifying further:
(4 - 1)x^2 + (-8 - 6)x + 8
Which simplifies to:
3x^2 - 14x + 8
Perform the operation.
(-5x^2 + 5x - 5) - (3x^3+ x)