Solve the problem.
-Determine if the lower bound theorem identifies -4 as a lower bound for the real zeros of f (x). $$f ( x ) = 3 x ^ { 3 } + 2 x ^ { 2 } - 9 x + 4$$
A) Yes
B) No

Question

Quizplus · Accepted Answer

The lower bound theorem states that if you perform synthetic division of a polynomial by (x - c) and the resulting row has no sign changes, then c is a lower bound for the real zeros of the polynomial. Performing synthetic division of f(x) by (x + 4) results in a row with no sign changes, confirming -4 as a lower bound.

Solve the Problem f(x)=3x3+2x2−9x+4f ( x ) = 3 x ^ { 3 } + 2 x ^ { 2 } - 9 x + 4f(x)=3x3+2x2−9x+4

Solve the Problem $f ( x ) = 3 x ^ { 3 } + 2 x ^ { 2 } - 9 x + 4$