Use the Factor Theorem to determine if the given binomial is a factor of the given polynomial function: \( f(x)=3 x^{3}+x^{2}-20 x+12 ; x+3 \) \( f(3)=0 \); yes, the binomial is a factor of the polynomial. \( f(3) \neq 0 \); the binomial is not a factor of the polynomial. \( f(-3) \neq 0 \); the binomial is not a factor of the polynomial. \( f(-3)=0 \); yes, the binomial is a factor of the polynomial.

Find \( n \), \( 3 n-6=18 n^{2} \) A) 0.654 (B) -0.488 (C) 0.654 OR -0.488 (D) No real roots

3. At a school, \( 40 \% \) of the sikthegrade students said that hip-hop is their favorite kind of music. If 100 sixth-gade students preler hip hop music, how many sixth-grade studer are at the school? Explain or show your reasoning.

3.18. Determine el máximo comun divisor de los enteros \( 15,18,24 \) y escríbalo como una combinación lineal de \( 15,18,24 \). 3.19. Sea \( a \in \mathbb{Z}^{+} \)tal que \( \operatorname{mcd}(240, a)=1 \), probar que \( 240 \mid a^{4}-1 \).

Find \( x \). \( \frac{x-1}{3}=\frac{5}{x}+1 \) A. 6.36 OR -2.36 (B) 6.36 (C) 5.46 OR 2.36 (D) No real roots

expunencial \( \left.\left(4^{2}\right)\left(2^{3}\right)^{2 x-5}\right)=8 \)