What is the degree of the algebraic expression,
$9 x^{3} + 6 x y + 3 x^{2}$ ?

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C 3
The degree of a polynomial is the highest of the degrees of its monomials (individual terms) with non-zero coefficients.
$9 x^{3} + 6 x y + 3 x^{2}$
Degree of $9 x^{3}$ is 3.
Degree of $6 x y$ is 1 + 1 = 2.
Degree of $3 x^{2}$ is 2.
So, the highest degree of the expression is 3.

Suggest Corrections

Similar questions

x y + x^{2} y - x^{2} y^{2} ?

p^{3} q^{2} - 6 p^{2} q^{5} + p^{4} q^{4} - 8 p q^{6} + 5 p^{3} q

3 x^{2} - 4 y^{2} + 5 x y + 20

- x^{2} - y^{2} + 6 x y + 20

x^{2} + 2 x y + y^{2}

x y

2 x^{2} - 6 x y + 3; - 3 x^{2} - x - 4; 1 + 2 x - 3 x^{2}

6 x^{2} y z

Join BYJU'S Learning Program