p²q + q²r + r²q is a binomial. Is the given statement true or false

Solution:

The statement ‘p²q + q²r + r²q’ is a binomial is false.

An algebraic expression which consists of two non-zero terms is called a binomial.

Given the equation, p²q + q²r + r²q has three non-zero terms.

∴ The given polynomial having three terms, is trinomial not a binomial.

✦ Try This: Name the following polynomials as monomial, binomial and trinomial (i) 4x² + 3y², (ii) xy² + xy + y, (iii) 2xy

(i) 4x² + 3y² → given polynomial is a binomial as it has two non-zero terms.

(ii) xy² + xy + y → given polynomial is a trinomial as it has three non-zero terms.

(iii) 2xy → given polynomial is a monomial it has one non zero term.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 9

NCERT Exemplar Class 8 Maths Chapter 7 Problem 65

p²q + q²r + r²q is a binomial. Is the given statement true or false

Summary:

The statement ‘p²q + q²r + r²q’ is a binomial is false

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