Question

Adding which terms to 3x^2y would result in a monomial? Check all that apply

Answer 1

Answer:

$-12x^2y$ and $4x^2y$

Step-by-step explanation:

Given

$3x^2y$

Required

What added term would make it a monomial

Options

$3xy$

$-12x^2y$

$2x^2y^2$

$7xy^2$

$-10x^2$

$4x^2y$

$3x^3$

The given expression, $3x^2y$ has 2 variables; x and y

x has a power of 2 and y has a power of 1.

This implies that, the next term to be added must have y to the power of 1 and x to the power of 2

From the list of given options, only 2 options satisfy this condition.

$-12x^2y$

$4x^2y$

When these two terms are added to $3x^2y$, the result is a monomial.

i.e.

$3x^2y - 12x^2y = -9x^2y$

$3x^2y + 4x^2y = 7x^2y$