Use the Factor Theorem to determine whether x - c is a factor of f(x).
-$$f ( x ) = 8 x ^ { 4 } + 23 x ^ { 3 } - 3 x ^ { 2 } + x + 3 ; x + 3$$
A)Yes
B)No

Question

Quizplus · Accepted Answer

To determine if $x + 3$ is a factor of $f(x) = 8x^4 + 23x^3 - 3x^2 + x + 3$, we apply the Factor Theorem by evaluating $f(-3)$. If $f(-3) = 0$, then $x + 3$ is a factor. Substituting $-3$ into $f(x)$ gives $f(-3) = 8(-3)^4 + 23(-3)^3 - 3(-3)^2 + (-3) + 3 = 0$, indicating $x + 3$ is indeed a factor.

Use the Factor Theorem to Determine Whether X - C f(x)=8x4+23x3−3x2+x+3;x+3f ( x ) = 8 x ^ { 4 } + 23 x ^ { 3 } - 3 x ^ { 2 } + x + 3 ; x + 3f(x)=8x4+23x3−3x2+x+3;x+3

Use the Factor Theorem to Determine Whether X - C $f ( x ) = 8 x ^ { 4 } + 23 x ^ { 3 } - 3 x ^ { 2 } + x + 3 ; x + 3$