Question

The sum of $x^4-xy+2y^2$ and $-x^4+xy+2y^2$ is

• A. Monomial and polynomial in $y$
• B. Binomial and Polynomial
• C. Trinomial and polynomial
• D. Monomial and polynomial in $x$

Answer 1

The correct option is A

Monomial and polynomial in $y$

Explanation for the correct option:

Polynomial addition:

Consider the given expressions,

$x^4-xy+2y^2$and $-x^4+xy+2y^2$

Sum of two expressions $=$ ($x^4-xy+2y^2$) $+$ ($-x^4+xy+2y^2$)

$=$ $x^4-xy+2y^2$$-x^4+xy+2y^2$

$=$($x^4-x^4$) $+$ ($-xy+xy$) $+$ ($2y^2+2y^2$)

$=$$0+0+4y^2$

$=$ $4y^2$

Therefore, it is a monomial and polynomial in $y$.

Hence, the option is A .