Question

On adding a monomial ______ to –2x + 4y² + z, the resulting expression becomes a binomial.

Answer 1

On adding a monomial 2x or –4y² or –z to –2x + 4y² + z, the resulting expression becomes a binomial.

Explanation:

We can add 2x, –4y² and –z to the expression to make it binomial.

⇒ 2x + (–2x + 4y² + z) = 4y² + z

⇒ –4y² + (–2x + 4y² + z) = –2x + z

⇒ –z + (–2x + 4y² + z) = –2x + 4y²

Hence, on adding a monomial 2x or –4y² or –z to –2x + 4y² + z, the resulting expression becomes a binomial.