Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

The polynomial p(x) = x5 − 9x4 + 13x3 + 57x2 − 86x − 120 has a total of [ }

zeroes. It can have a maximum of [ ]

[ ] positive real roots and a maximum of

[ ] negative real roots.

pls help

Answer 1

- 5

- 3

- 2

Explanation:

the factorization of the polynomial is:

`x^5-9x^4+13x^3+57x^2-86x-120=(x-5)(x-4)(x-3)(x+1)(x+2)`

Hence, we have

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The polynomial p(x) = x5 − 9x4 + 13x3 + 57x2 − 86x − 120 has a total of [5}

zeroes. It can have a maximum of

[ 3] positive real roots and a maximum of

[ 2] negative real roots.

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hope this helps!!