SOLUTION: Hey if you could answer this question that would be great thank you! According to the integral zero theorems, the possible integral zeros of f(x)= 5x^3+7x^2+6x+4 are Select o

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Question 1181479: Hey if you could answer this question that would be great thank you!
According to the integral zero theorems, the possible integral zeros of f(x)= 5x^3+7x^2+6x+4 are
Select one:
+-1, +-2, +-3, +-6
+-1, +-5
+-1, +-7
+-1, +-2, +-4

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Since all coefficients are integers, we can apply the rational zeros theorem.
The trailing coefficient (the coefficient of the constant term) is 4.
Find its factors (with the plus sign and the minus sign): ±1, ±2, ±4.
These are the possible values for p.
The leading coefficient (the coefficient of the term with the highest degree) is 5.
Find its factors (with the plus sign and the minus sign): ±1, ±5.
These are the possible values for q.
Find all possible values of p%2Fq:
±1%2F1, ±1%2F5, ±2%2F1, ±2%2F5, ±4%2F1, ±4%2F5
simplified:
±1, ±1%2F5, ±2, ±2%2F5, ±4, ±4%2F5

your answer option is:

±1, ±2, ±4