Problem
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) \( \left(p^{3}+p^{2}\right. \) 9) \( \left(8 x^{2}-75 x-50\right) \div(x-10) \)
Solution
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) \( (8 x^{2}-75 x-50) \div(x-10) = 8x+5 \)
Step 8 ：10) p^3+p^2 is not a factor of the given polynomial
