Correct Answer - Option 4 : 15

**Given:**

33x^{4} + 15x^{3} + 25x^{2} + 10x + 20

**Concept used:**

ax^{4 }+ bx^{3 }+ cx^{2} + dx + e is the comrehensive equation of algebraic function.

**Calculation:**

33x^{4} + 15x^{3} + 25x^{2} + 10x + 20

⇒ 33x^{4} + 15x^{3 }+ 25x^{2} + 10x + 20 = ax^{4 }+ bx^{3} + cx^{2} + dx + e

After the comparision on both side,

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

So the coefficiet x^{3} is b = 15

**∴ The algebraic coefficient of x**^{3} is 15.