Form a polynomial whose zeros and degree are given. Use a leading coefficient of 1.
-Zeros: -3, -2, 3; degree 3
A) $f ( x ) = x ^ { 3 } + 2 x ^ { 2 } + 9 x + 18$
B) $f ( x ) = x ^ { 3 } + 2 x ^ { 2 } - 9 x - 18$
C) $f ( x ) = x ^ { 3 } - 2 x ^ { 2 } + 9 x - 18$
D) $f ( x ) = x ^ { 3 } - 2 x ^ { 2 } - 9 x + 18$

Question

Form a polynomial whose zeros and degree are given. Use a leading coefficient of 1.
-Zeros: -3, -2, 3; degree 3 
A) $f ( x ) = x ^ { 3 } + 2 x ^ { 2 } + 9 x + 18$
B) $f ( x ) = x ^ { 3 } + 2 x ^ { 2 } - 9 x - 18$
C) $f ( x ) = x ^ { 3 } - 2 x ^ { 2 } + 9 x - 18$
D) $f ( x ) = x ^ { 3 } - 2 x ^ { 2 } - 9 x + 18$

Quizplus · Accepted Answer

The polynomial with zeros -3, -2, and 3 is $f(x) = (x + 3)(x + 2)(x - 3)$. Expanding this gives $f(x) = x^3 + 2x^2 - 9x - 18$.

Form a Polynomial Whose Zeros and Degree Are Given f(x)=x3+2x2+9x+18f ( x ) = x ^ { 3 } + 2 x ^ { 2 } + 9 x + 18f(x)=x3+2x2+9x+18

Form a Polynomial Whose Zeros and Degree Are Given $f ( x ) = x ^ { 3 } + 2 x ^ { 2 } + 9 x + 18$