Convert to standard form.
Name each based and its degree and number of terms.
4-5v-12v-6v^2-4-2v^3
3k^5+4k^2-6k^5-5k^2
Name each based and its degree and number of terms.
4-5v-12v-6v^2-4-2v^3
3k^5+4k^2-6k^5-5k^2
-
1)
4 - 5v - 12v - 6v^2 - 4 - 2v^3
= (4 - 4) + (-5v - 12v) - 6v^2 - 2v^3
= 0 + (-17v) - 6v^2 - 2v^3
= (-2)v^3 + (-6)v^2 + (-1)v
This is a trinomial since it has three terms.
Since it is of degree 3, it is a cubic polynomial.
Thus, we can call this a cubic trinomial.
2)
3k^5 + 4k^2 - 6k^5 - 5k^2
= (3k^5 - 6k^5) + (4k^2 - 5k^2)
= (-3k^5) + (-k^2)
= (-3)k^5 + (-1)k^2
This is a binomial since there are two terms.
Since it is of degree 5, it is a quintic polynomial.
Thus, we can call this a quintic binomial.
4 - 5v - 12v - 6v^2 - 4 - 2v^3
= (4 - 4) + (-5v - 12v) - 6v^2 - 2v^3
= 0 + (-17v) - 6v^2 - 2v^3
= (-2)v^3 + (-6)v^2 + (-1)v
This is a trinomial since it has three terms.
Since it is of degree 3, it is a cubic polynomial.
Thus, we can call this a cubic trinomial.
2)
3k^5 + 4k^2 - 6k^5 - 5k^2
= (3k^5 - 6k^5) + (4k^2 - 5k^2)
= (-3k^5) + (-k^2)
= (-3)k^5 + (-1)k^2
This is a binomial since there are two terms.
Since it is of degree 5, it is a quintic polynomial.
Thus, we can call this a quintic binomial.