On adding a monomial _____________ to - 2x + 4y² + z, the resulting expression becomes a binomial. Fill in the blanks to make the statement true.
Solution:
Given, on adding a monomial ________ to - 2x + 4y² + z, the resulting expression becomes a binomial.
We have to fill in the blanks to make the statement true.
The expression - 2x + 4y² + z has three unlike terms.
So, - 2x + 4y² + z is a trinomial.
Expression with two unlike terms is called a 'Binomial’.
Adding 2x,
- 2x + 4y² + z = 2x - 2x + 4y² + z
= 4y² + z
Therefore, 4y² + z is a binomial.
Adding -4y²,
- 2x + 4y² + z = - 2x + 4y² - 4y² + z
= -2x + z
Therefore, -2x + z is a binomial.
Adding -z,
- 2x + 4y² + z = - 2x + 4y² + z - z
= - 2x + 4y²
Therefore, - 2x + 4y² is a binomial.
✦ Try This: On adding a monomial _____________ to 3x + 5y² - z, the resulting expression becomes a binomial. Fill in the blanks to make the statement true.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 12
NCERT Exemplar Class 7 Maths Chapter 10 Problem 30
On adding a monomial _____________ to - 2x + 4y² + z, the resulting expression becomes a binomial. Fill in the blanks to make the statement true.
Summary:
On adding a monomial 2x or -4y² or -z to - 2x + 4y² + z, the resulting expression becomes a binomial.
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