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Algebraic Expression

Classify thes...

Question

Classify these into monomials, binomials and trinomials:
$- 4 y - 7 z, y^{2}, x + y - x y, 100, a b - a - b,$
$5 - 3 t, 4 p^{2} q - 4 p q^{2}, 7 m n, z^{2} - 3 z + 8, a^{2} + b^{2},$
$z^{2} + z, 1 + x + x^{2}$

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Solution

A ‘monomial’ contains only 1 term.
A ‘binomial’ contains 2 unlike terms.
A ‘trinomial’ contains 3 unlike terms.

Let’s see the number of unlike terms in the given algebraic expressions and categorise them into ‘monomials’, ‘binomials’ and ‘trinomials’.

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Similar questions

Classify into monomials, binomials and trinomials.

(i) 4y − 7z (ii) y² (iii) x + y − xy

(iv) 100 (v) ab − a − b (vi) 5 − 3t

(vii) 4p²q − 4pq² (viii) 7mn (ix) z² − 3z + 8

(x) a² + b² (xi) z² + z (xii) 1 + x + x²

Classify into monomials, binomials and trinomials.

(i) 4y − 7z (ii) y² (iii) x + y − xy

(iv) 100 (v) ab − a − b (vi) 5 − 3t

(vii) 4p²q − 4pq² (viii) 7mn (ix) z² − 3z + 8

(x) a² + b² (xi) z² + z (xii) 1 + x + x²

Classifyinto monomials, binomials and trinomials.

(i) 4y− 7z (ii) y² (iii) x + y− xy

(iv) 100 (v) ab− a − b (vi) 5 − 3t

(vii) 4p²q− 4pq² (viii) 7mn (ix) z²− 3z + 8

(x) a²+ b² (xi) z² + z (xii) 1 + x+ x²

(i) 4 y - 7 x

(i i) y^{2}

(i i i) x + y - x y

(i v) 100

(v) a b - a - b

(v i) (5 - 3 t)

(v i i) 4 p^{2} q - 4 p q^{2}

(v i i i) 7 m n

(i x) z^{2} - 3 z + 8

(x) a^{2} + b^{2}

(x i) z^{2} + z

(x i i) 1 + x + x^{2}

Classify the given polynomials into monomials, binomials and trinomials.
( i ) 7mn
( ii ) $4 p^{2} q - 4 p q^{2}$
( iii ) $1 + x + x^{2}$

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