Use the Factor Theorem to determine whether x - c is a factor of f(x).
-$9 x ^ { 4 } + 26 x ^ { 3 } - 3 x ^ { 2 } + x + 3 ; x + 3$
A) Yes
B) No

Question

Quizplus · Accepted Answer

To determine if $x + 3$ is a factor of $f(x) = 9x^4 + 26x^3 - 3x^2 + x + 3$, we use the Factor Theorem by evaluating $f(-3)$. If $f(-3) = 0$, then $x + 3$ is a factor. Substituting $-3$ into $f(x)$ gives $f(-3) = 9(-3)^4 + 26(-3)^3 - 3(-3)^2 + (-3) + 3 = 0$, indicating $x + 3$ is indeed a factor.

Use the Factor Theorem to Determine Whether X - C 9x4+26x3−3x2+x+3;x+39 x ^ { 4 } + 26 x ^ { 3 } - 3 x ^ { 2 } + x + 3 ; x + 39x4+26x3−3x2+x+3;x+3

Use the Factor Theorem to Determine Whether X - C $9 x ^ { 4 } + 26 x ^ { 3 } - 3 x ^ { 2 } + x + 3 ; x + 3$