Question

In $-5x^3{y}^2{z}^4$; write the coefficient of :
(iv) $x^{3}y$
Also, write the degree of the given algebraic expression.

Answer 1

Solution: $-5x^3{y}^2{z}^4=-5.x^3.y.y.z^4$
$=-5y{z}^4.x^{3}y$
$=(-5y{z}^4)x^{3}y$
Hence, co-efficient of $x^{3}y\text{is}-5y{z}^4.$
The degree of a monomial is the sum of exponents of all the variables in it.
So, the degree of the given algebraic expression
$-5x^3{y}^2{z}^4$ =3+2+4 = 9.