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Using the remainder theorem which quotient has a remainder of 20?

Using the remainder theorem which quotient has a remainder of 20?-example-1
User Mattmilten
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2 Answers

19 votes
19 votes

Answer:

(3x^(4)-5x^(3)+5x+2)-:(x-2)

Explanation:

Plato/Edmentum

Using the remainder theorem which quotient has a remainder of 20?-example-1
User Midi
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24 votes
24 votes

Answer:

D

Explanation:

When a polynomial f(x) is divided by (x - a) then remainder is f(a)

A

divided by (x + 4 ), then a = - 4


(-4)^(4) - 8(- 4)² + 16 = 256 - 128 + 16 = 144 ≠ 20

B

divided by (x - 2), then a = 2

3(2)³ + 7(2)² + 5(2) + 2

= 3(8) + 7(4) + 10 + 2

= 24 + 28 + 12 = = 64 ≠ 20

C

divided by (x + 5) , then a = - 5

(- 5)³ + 5(- 5)² - 4(- 5) + 6

= - 125 + 125 + 20 + 6 = 26 ≠ 20

D

divided by (x - 2), then a = 2

3
(2)^(4) - 5(2)³ + 5(2) + 2

= 3(16) - 5(8) + 10 + 2

= 48 - 40 + 12 = 20 ← Remainder of 20

User RAmAnA
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3.4k points