Question

1. Classify the following algebraic expression as monomials, binomials, trinomials or polynomials:
(i) 7x (u) 5y - 72 (iii) 3x - 582 - 11 (iv) 1 - 8a – 7a? - 78' (v) 5m - 3
(vi) a
(vii) 4
(vili) 3y - 7y +5 (ix) 2m + 7m2-3m²+5m -9 (x) 5n2 -8.
Ans. Monomials:
Binomials
Trinomials:
Polynomial​

Answer 1

Classifying the algebraic expression,

1.  $7x$ = Monomial.

2. $5y - 72$ = Binomial.

3. $3x - 582 - 11 = 3x - 593$ = Binomial.

4.  $1 - 8a - 7a - 78 = - 15a - 77$ = Binomial.

5. $5m - 3$ = Binomial.

6. $a$ = Monomial.

7. $4$ = Monomial.

8. $3y - 7y +5$ =  Trinomial.

9. $2m + 7m^{2} -3m^{2} +5m -9 = 7m+4m^{2}-9$ = Trinomial.

10. $5n^{2} -8$ = Binomial.

Explanation:

Monomials has only one term as an algebraic expression.

Binomial has two term, Trinomials has 3 term.

Polynomial has more that three term.