Question

sall possible rational zeros for polynomial, f(x) = 2x3 -2x2 -11 x + 7

Answer 1

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http://www.sosmath.com/algebra/factor/fac10/fac10.html

Answer 2

What are the prime factors of 7?

What are the prime factors of 2?

Make up a list of possible rational factors that look like this:

\[\frac{ \pm(factors~of~7) }{ \pm factors~of~2 }\]

One example would be (-1) / (2), or -1/2. Have you read up on the "rational roots theorem?" You might benefit from looking at the search results here:

https://www.google.com/search?q=rational+roots+theorem&rlz=1C1CHFX_enUS461US461&oq=rational+roots+theorem&aqs=chrome..69i57j0l5.3311j0j7&sourceid=chrome&es_sm=122&ie=UTF-8

Answer 3

They are all of the form p/q where p is a divisor of 7 and q is a divisor of 2

Answer 4

Using -1/2 as ONE example of what you're looking for, try coming up with other possible rational roots of this polynomial. Remember, for each fraction, such as 1/2, put in a "plus or minus" sign. For example, +1/2. List other possible rational roots here, please.

Answer 5

Please check the signs of the terms. (-7) or (+7)? (- 2x^2) or (+ 2x^2)?