Question

SColAlg7 3.5.008.M A polynomial P is given. $P(x) = x^5 + 81x^3$ (a) Find all zeros of P, real and complex. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) $x = 0,0,0,9i, -9i$ (b) Factor P completely. $P(x) = $ x

Name: scolalg7 35008m a polynomial p is given px x5 81x3 a find all zeros of p real and complex enter your answers as a comma separated list enter all answers including repetitions x 0009i 9i b fa 31702
Uploaded: 2022-10-24T00:24:53-08:00
Duration: 1 min 55 s
Channel: Lauren Shelton
Description: scolalg7 35008m a polynomial p is given px x5 81x3 a find all zeros of p real and complex enter your answers as a comma separated list enter all answers including repetitions x 0009i 9i b fa 31702

          SColAlg7 3.5.008.M
A polynomial P is given.
$P(x) = x^5 + 81x^3$
(a) Find all zeros of P, real and complex. (Enter your answers as a comma-separated list. Enter all answers including repetitions.)
$x = 0,0,0,9i, -9i$
(b) Factor P completely.
$P(x) = $
x

scolalg7 35008m a polynomial p is given px x5 81x3 a find all zeros of p real and complex enter your answers as a comma separated list enter all answers including repetitions x 0009i 9i b fa 31702

Added by Deborah C.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Lauren Shelton

10/24/2022

Step 1

To find the zeros of P, we set $P(x) = 0$. $x^5 + 81x^3 = 0$ Step 2: Factor out the common term $x^3$: $x^3(x^2 + 81) = 0$ Step 3: Set each factor to zero to find the zeros. For the first factor: $x^3 = 0$ This gives $x = 0$ with multiplicity 3. So, the zeros Show more…

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SColAlg7 3.5.008.M A polynomial P is given. $P(x) = x^5 + 81x^3$ (a) Find all zeros of P, real and complex. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) $x = 0,0,0,9i, -9i$ (b) Factor P completely. $P(x) = $ x