Find a polynomial function with following characteristics.
Degree: 4
Zero: 4 , multiplicity: 2
Zero: -3 , multiplicity: 2
Falls to the left,
Falls to the right
Absolute value of the leading coefficient is one
A) $y = x ^ { 4 } + x ^ { 3 } - 23 x ^ { 2 } + 24 x - 12$
B) $y = - x ^ { 4 } + x ^ { 3 } - 48 x ^ { 2 } + 9$
C) $y = x ^ { 4 } - 6 x ^ { 3 } - 18 x ^ { 2 } + 25 x + 48$
D) $y = - x ^ { 4 } + 2 x ^ { 3 } + 23 x ^ { 2 } - 24 x - 144$
E) $y = - x ^ { 4 } + 2 x ^ { 3 } - 24 x - 36$

Question

Quizplus · Accepted Answer

- Degree: 4 (all answer choices have degree 4)
- Zero: 4 , multiplicity: 2 (D has this zero and multiplicity)
- Zero: -3 , multiplicity: 2 (D has this zero and multiplicity)
- Falls to the left (D falls to the left as x approaches negative infinity)
- Falls to the right (D falls to the right as x approaches positive infinity)
- Absolute value of the leading coefficient is one (D has a leading coefficient of -1, which has an absolute value of 1)

Find a Polynomial Function with Following Characteristics y=x4+x3−23x2+24x−12y = x ^ { 4 } + x ^ { 3 } - 23 x ^ { 2 } + 24 x - 12y=x4+x3−23x2+24x−12

Find a Polynomial Function with Following Characteristics $y = x ^ { 4 } + x ^ { 3 } - 23 x ^ { 2 } + 24 x - 12$