Form a polynomial whose zeros and degree are given. Use a leading coefficient of 1.
-Zeros: $- 5$, multiplicity $2 ; - 1$, multiplicity 1 ; degree 3
A) $x ^ { 3 } + 11 x ^ { 2 } + 35 x + 25$
B) $x ^ { 3 } - 11 x ^ { 2 } + 10 x - 25$
C) $x ^ { 3 } + 10 x ^ { 2 } + 35 x + 25$
D) $x ^ { 3 } - 11 x ^ { 2 } + 35 x - 25$

Question

Quizplus · Accepted Answer

Given zeros and their multiplicities lead to the factors $(x + 5)^2(x + 1)$. Expanding these factors results in the polynomial $x^3 + 11x^2 + 35x + 25$.

Form a Polynomial Whose Zeros and Degree Are Given −5- 5−5

Form a Polynomial Whose Zeros and Degree Are Given $- 5$