Question

In case of a polynomial in one variable, the highest power of the variable is called the degree of the polynomial.
In case of polynomials in more than one variable, the sum of the powers of the variables in each term is taken up and the highest sum so obtained is called the degree of the polynomial.

Find the polynomial with degree $6$.

• A. $6x^4+7x^2$
• B. $8x^4{y}^2+7x^5{y}^3-\frac{3}{5}$
• C. $8x^2{y}^2{z}^2+7x^2{y}^{3}z+3x^4$
• D. $8x^6{y}^6+y^2+7x^3$

Answer 1

The correct option is C $8x^2{y}^2{z}^2+7x^2{y}^{3}z+3x^4$

$\left(A\right)$ Degree$=4$

$\left(B\right)$ Degree$=5+3=8$

$\left(C\right)$ Degree$=2+2+2=6$

$\left(D\right)$ Degree$=6+6=12$

So, C is correct