Question

What will be the degree of $1+4x^{2}y+xyz+x^{2}yz$

• A. 0
• B. 3
• C. 4
• D. 10

Answer 1

The correct option is C 4

We know that degree of an expression is the highest degree among all the degrees of its terms.
Given algebraic expression contains four terms($1,4x^{2}y,xyzand{x}^{2}yz$).
So,
First begin with the degree of 1,
1 can be written as $1x^0$. So its degree will be 0.

Degree of $4x^{2}y=2+1=3$
Degree of $4xyz=1+1+1=3$
Degree of $4x^{2}yz=2+1+1=4$

As we can see, 4 is highest among all the degrees of its terms so 4 will the degree of $1+4x^{2}y+xyz+x^{2}yz$.
Hence, option 'c' is correct.