65.3k views
5 votes
Select the correct answer.

Using the remainder theorem, which quotient has a remainder of 20?
.
OA. (x^3 + 5x^2 - 4x + 6) = (x + 5)
B. (3x^3 + 7x^2 + 5x + 2) = (x - 2)
OC. (x^4 – 8x^2 + 16) = (x + 4)
OD. (3x^4 – 5x^3 + 5x + 2) = (x - 2)

Select the correct answer. Using the remainder theorem, which quotient has a remainder-example-1
User Fritza
by
8.0k points

1 Answer

0 votes

Explanation:

the remainder theorem data that for a division of f(x) by (x - r), the remainder of this division is f(r).

A. r = -5

f(-5) = (-5)³ + 5×(-5)² - 4×-5 + 6 = -20 + 6 = -14 and not 20

B. r = 2

f(2) = 3×2³ + 7×2² + 5×2 + 2 = ... definitely larger than 20

C. r = -4

f(-4) = (-4)⁴ - 8×(-4)² + 16 = 256 - 128 + 16 = 144 and not 20

D. r = 2

f(2) = 3×2⁴ - 5×2³ + 5×2 + 2 = 48 - 40 + 10 + 2 = 20

so, D is correct.

User Supersuf
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories