Question

The difference of the degrees of the polynomials $3x^2{y}^3+5x{y}^7-x^6$ and $3x^5-4x^3+2$ is

• A. $2$
• B. $3$
• C. $1$
• D. $0$

Answer 1

The correct option is B $3$

Let first polynomial be $f\left(x\right)=3x^2{y}^3+5x{y}^7-x^6$ and second polynomial be $g\left(x\right)=3x^5-4x^3+2$.

we k.n.t degree of a polynomial is maximum of sum of powers of variaables in a term.

degree of $f\left(x\right)$ is 8.

degree of $g\left(x\right)$ is 5.

difference of degrees of $f\left(x\right)$ and $g\left(x\right)$ is $8-5=3$.