Question

Use the remainder theorem to determine if the given number c is a zero of the polynomial. $x^4 + 8x^3 + 12x^2 - 14x - 15$; $c = -3$ Select one: A. No B. Yes

Name: use the remainder theorem to determine if the given number c is a zero of the polynomial x4 8x3 12x2 14x 15 c 3 select one a no b yes 87732
Uploaded: 2021-08-25T17:49:09-08:00
Duration: 1 min 58 s
Channel: Allison Knapp
Description: use the remainder theorem to determine if the given number c is a zero of the polynomial x4 8x3 12x2 14x 15 c 3 select one a no b yes 87732

          Use the remainder theorem to determine if the given number c is a zero of the polynomial.
$x^4 + 8x^3 + 12x^2 - 14x - 15$; $c = -3$
Select one:
A. No
B. Yes

Added by Fernando R.

Elementary and Intermediate Algebra

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

Instant Answer

Solved by Expert Allison Knapp

08/25/2021

Step 1

According to the Remainder Theorem, if a polynomial $P(x)$ is divided by $(x - c)$, then the remainder is $P(c)$. Furthermore, if $c$ is a zero of the polynomial, then $P(c) = 0$. So, we need to evaluate $P(-3)$. Step 2: Substitute $c = -3$ into the polynomial Show more…

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Use the remainder theorem to determine if the given number c is a zero of the polynomial. $x^4 + 8x^3 + 12x^2 - 14x - 15$; $c = -3$ Select one: A. No B. Yes