Classify the following polynomials as monomials, binomials, trinomials.

$(i) 4 x^{2}$

$(i i) 5 x y^{2} + 6 x y z$

$(i i i) 5 x y z$

$(i v) a + b + c$

$(v) 5 x^{2} + 6 x + 25$

$(v i) x + y$ [4 MARKS]

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Solution

Concept: 1 Mark
Application: 0.5 Mark each

Monomials -: $4 x^{2}, 5 x y z$

Binomials -: $5 x y^{2} + 6 x y z, x + y$

Trinomials -: $a + b + c, 5 x^{2} + 6 x + 25$

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Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any of these three categories?

x + y, 1000, x + x² + x³ + x⁴, 7 + y + 5x, 2y − 3y², 2y − 3y² + 4y³, 5x − 4y + 3xy, 4z − 15z², ab + bc + cd + da, pqr, p²q + pq², 2p + 2q

(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}

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

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

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