Question

Arrange the following in ascending order with respect to degree of a polynomial-

• A. $3x^3$ + 2x
• B. $7x^2$ + 5x
• C. $9x^4$ + 3
• D. 2x
• E. 7

Answer 1

Degree of a polynomial is determined by the maximum value of an exponent in the polynomial.

7 = 7$x^0$$⟹$ degree = 0
2x $⟹$degree = 1
$7x^2+5x$$⟹$ degree = 2
$3x^3+2x$$⟹$ degree = 3
$9x^4+3$$⟹$, degree = 4

The order in which degree increasing is
1. $7$
2. $2x$
3. $7x^2+5x$
4. $3x^3$ + 2x
5. $9x^4+3$