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When 4x3 - 3x2 + 2x - 1 is divided by (x + 2), then remainder is

When 4x3 - 3x2 + 2x - 1 is divided by (x + 2), then remainder is Correct Answer <span style="">- 49</span>

Concept:

If a function is divisible by another function (x + a), then we can put the value of x from x + a = 0, in the function to get the remainder

Calculation:

According to the question:

Put the value of x = - 2 in the function 4x3 - 3x2 + 2x - 1

⇒ 4(- 2)3 - 3(- 22) + 2(- 2) - 1

⇒ - 32 - 12 - 4 - 1

⇒ - 49

∴ When 4x3 - 3x2 + 2x - 1 is divided by (x + 2), then remainder = - 49

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