Question

Use the rational zeros theorem to write a list of all possible rational zeros of the function. F(x) = 2x3 + 8x2 + 7x - 8

Answer 1

Answer:

±$\frac{1}{2}$, ±1, ±2, ±4 and ±8

Explanation:

If x is a rational zero of f then, x must be +- (factor of 8) / (factor of 2)  

the factors of the constant term / factors of the coefficient of the highest power term.  

Factors of 8 = 1,2,4,8  

Factors of 2 = 1, 2

So in this case you end up with the following list:  

±1/1 = ±1

±1/2

±2/1 = ±2

±2/2 = ±1

±4/1 = ±4

±4/2 = ±2

±8/1 = ±8

±8/2 = ±4

So, possible rational zeroes are :

±$\frac{1}{2}$, ±1, ±2, ±4 and ±8

That's the final answer.