Question

I will award medal!!!!!
Please Help!!!!!!
Using complete sentences, describe how you would find all possible rational zeros of the polynomial function f(x) = 9x^4 – 17x^3 + 2x^2 – 3x + 33.

Be sure to provide the answer in your explanation.

Answer 1

@whpalmer4

Answer 2

ok so we are not going to worry about what the actual roots are, we are only going to answer the question that is asked

Answer 3

the question is
"Using complete sentences, describe how you would find all possible rational zeros of the polynomial function f(x) = 9x^4 – 17x^3 + 2x^2 – 3x + 33."

Answer 4

Yes but it asks for the answr I belive that means the roots

Answer 5

Yes no roots

Answer 6

the possible rational roots are rational numbers, numbers that look like \(\frac{p}{q}\) were \(p\) and \(q\) are integers

Answer 7

and \(p\) has to divide the constant, which in this case is \(33\) so your choices for \(p\) are
\(\pm1,\pm3,\pm11,\pm33\)

Answer 8

your choices for \(q\) are numbers that divide the leading coefficient, which in your case is \(9\)
the choices for \(q\) are therefore \(\pm1,\pm3,\pm9\)

Answer 9

make all possible combinations of those fractions

Answer 10

if \(q=1\) they are
\[\pm1,\pm3,\pm11,\pm33\]

Answer 11

Ok I will post a new question and tag you

Answer 12

if \(q=3\) they are
\[\pm\frac{1}{3},\pm\frac{11}{3}\] and some others that are already listed

Answer 13

if \(q=9\) then you get a couple more, like
\[\pm\frac{1}{9}\] and \[\pm\frac{11}{9}\]