Use the Factor Theorem to determine whether x - c is a factor of f(x).
-$$f ( x ) = 7 x ^ { 4 } + 20 x ^ { 3 } - 3 x ^ { 2 } + x - 3 ; x + 3$$
A)Yes
B)No

Question

Quizplus · Accepted Answer

The Factor Theorem states that x - c is a factor of f(x) if and only if f(c) = 0. Here, we need to check if f(-3) = 0. Calculating f(-3) gives a non-zero result, so x + 3 is not a factor of f(x).

Use the Factor Theorem to Determine Whether X - C f(x)=7x4+20x3−3x2+x−3;x+3f ( x ) = 7 x ^ { 4 } + 20 x ^ { 3 } - 3 x ^ { 2 } + x - 3 ; x + 3f(x)=7x4+20x3−3x2+x−3;x+3

Use the Factor Theorem to Determine Whether X - C $f ( x ) = 7 x ^ { 4 } + 20 x ^ { 3 } - 3 x ^ { 2 } + x - 3 ; x + 3$