Algebra III - 5.8 - Rational Zero Theorem

List all possible rational zeros of the function.  $f\left(x\right)=x^3-6x^2-8x+24$  

List all possible rational zeros of each function.  $f\left(x\right)=2x^4+3x^2-x+15$  

Find all of the rational zeros of each function.  $f\left(x\right)=x^3-6x^2-13x+42$  

• -3

• 2

• 7

• -4

Find all of he rational zeros of the function.  $f\left(x\right)=2x^4+11x^3+26x^2+29x+12$  

•  $-\frac{3}{2}$  

•  $-\frac{2}{3}$  

•  $-1$  

•  $1$  

When using the Rational Zero Theorem, what letter is used to represent the factors of the constant term?

• q

• p

• r

• s

When using the Rational Zero Theorem, which letter is used to represent the factors of the leading coefficient?

• p

• q

• r

• s

When using the Rational Zero Theorem, every rational zero of P(x)=0 is of the form:

• $\frac{p}{q}$

• $\frac{q}{p}$

• $\frac{r}{s}$

• $\frac{s}{r}$

Find all of the zeros of the function.  $f\left(x\right)=4x^4+13x^3-8x^2+13x-12$  

•  $-4$  

•  $\frac{3}{4}$  

•  $-i$  

•  $i$  

Find all of the zeros of the function.  $f\left(x\right)=4x^4-12x^3+25x^2-14x-15$  

•  $-\frac{1}{2}$  

•  $\frac{3}{2}$  

•  $1+2i$  

•  $1-2i$  

Find all the zeros of the function.  $f\left(x\right)=8x^3+14x^2+11x+3$  

•  $-\frac{1}{2}$  

•  $\frac{1}{2}$  

•  $\frac{\left(-5\pm i\sqrt{23}\right)}{8}$  

•  $4$