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What is the algebraic coefficient of x3 in equation 33x4 + 15x3 + 25x2 + 10x + 20?
1. 25
2. 10
3. 33
4. 15

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Correct Answer - Option 4 : 15

Given:

33x4 + 15x3 + 25x2 + 10x + 20

Concept used:

ax+ bx+ cx2 + dx + e is the comrehensive equation of algebraic function.

Calculation:

33x4 + 15x3 + 25x2 + 10x + 20

⇒ 33x4 + 15x+ 25x2 + 10x + 20 = ax+ bx3 + cx2 + dx + e

After the comparision on both side,

⇒ a = 33, b = 15, c = 25, d = 10, e = 20.

So the coefficiet x3 is b = 15

∴ The algebraic coefficient of x3 is 15.

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