Question

what must be added to the polynomial 2 x cube minus 3 x square - 8 x so that it leaves a remainder 10 when divided by 2 X + 1​

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

7 must be added to the polynomial 2x^3 - 3x^2 - 8x so that it leaves a remainder 10 when divided by 2x + 1.

Step-by-step explanation:

Let the number that should be added be y

Since, 2x + 1 = 0

∵ x = -1/2

Given equation,

2x^3 - 3x^2 - 8x

By putting x's value in the given equation,

⇒ 2(-1/2)^3 - 3(-1/2)^2 - 8(-1/2) + y = 10

⇒ -1/4 -3/4 + 4 + (y) = 10

⇒ 12 + 4(y) = 40

⇒ y = (40 - 12)/4

∵ y = 7

Thus, the number that must be added would be 7.

Learn more: Polynomial

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