Question

Using complete sentences, describe how you would find all possible rational zeros of the polynomial function f(x) = 9x4 – 17x3 + 2x2 – 3x + 33.

Answer 1

Tell me what you know about finding zeros before we start. What has your teacher said so far?

Answer 2

So Far I Got This As A Answer
The possible rational roots are of the form a/b, where a is a factor of 33 (the constant term), and b is a factor of 9 (the leading coefficient).

Since 33 has factors ±1, ±3, ±11, ±33, and 9 has factors ±1, ±3, ±9,
a/b = ±1, ±3, ±11, ±33, ±1/3, ±3/3, ±11/3, ±33/3, ±1/9, ±3/9, ±11/9, ±33/9.

a/b = ±1, ±3, ±11, ±33, ±1/3, ±11/3, ±1/9, ±11/9

But Have To Explain Which Im Having A Little Trouble On

Answer 3

That's impressive work so far. Great start. Now, we can eliminate all the negative reals because there would then be absolutely NO signs changes. Don't just take my word for it, look at each term and see how it would definitely be positive.

Answer 4

Next, it is true that all that is left are possibilities, but these problems are usually constructed so as to reveal the simplest-looking numbers which many question-makers allow as integers. I always try those first.

Answer 5

Ok

Answer 6

Thank For The Help I Got It Right

Answer 7

great job, good luck in all your studies.