Question

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

Answer 1

Correct Answer - Option 4 : 15

Given:

33x⁴ + 15x³ + 25x² + 10x + 20

Concept used:

ax⁴ + bx³ + cx² + dx + e is the comrehensive equation of algebraic function.

Calculation:

33x⁴ + 15x³ + 25x² + 10x + 20

⇒ 33x⁴ + 15x³ + 25x² + 10x + 20 = ax⁴ + 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.