Question

Question 30

Fill in the blanks to make the statement true.

On adding a monomial ___ to $-2x+4y^2+z,$ the resulting expression becomes a binomial.

Answer 1

We can add $2x,-4y^2$ and -z to the expression to make it binomial.
$\Rightarrow 2x+(-2x+4y^2+z)=4y^2+z\Rightarrow -4y^2-(-2x+4y^2+z)=-2x+z\Rightarrow -z+(-2x+4y^2+z)=-2x+4y^2$
Hence, on adding a monomial $2x$ or $-4y^2$ or $-z$ to $-2x+4y^2+z$, the resulting expression becomes a binomal.