Integrated Math III Activator--Naming and Long Division of Polynomials
Name each polynomial by degree and number of terms.
1) -10
constant
2) $5 n^{6}$
Monimal
3) $- 6 n^{3} + 6 n + 10$
4) $- 2 k^{6} - 7 k^{4} - 9 k^{2}$
5) $4 x^{6} + 2 x^{3}$
6) $- 4 n - 2 n^{2} + 6 n^{3}$
8) $- 10 x - 5 x^{2}$
7) $- 9 x^{3} + 2 - x^{5}$
State if the given binomial is a factor of the given polynomial.
10) $(p^{3} + p^{2}$
9) $(8 x^{2} - 75 x - 50) \div (x - 10)$

Answer

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Answer

10) p^3+p^2 is not a factor of the given polynomial

Steps

Step 1 ：3) cubic trinomial

Step 2 ：4) sextic trinomial

Step 3 ：5) sextic binomial

Step 4 ：6) cubic trinomial

Step 5 ：7) quintic trinomial

Step 6 ：8) quadratic binomial

Step 7 ：9) $(8 x^{2} - 75 x - 50) \div (x - 10) = 8 x + 5$

Step 8 ：10) p^3+p^2 is not a factor of the given polynomial