Classify the following expression into monomial, binomial or trinomial:
(i) $5 - 3 t$
(ii) $1 + x + x^{2}$
(iii) $y^{2}$
(iv) $z^{2} - 3 z + 8$

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Solution

(i) $5 - 3 t$
It has 2 terms, So it is a binomial.
(ii) $1 + x + x^{2}$
it has 3 terms. So, it is a trinomial
(iii) $y^{2}$
It has one term. So, it is a monomial.
(iv) $z^{2} - 3 z + 8$
It has 3 terms. So, it is a trinomial

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Q. Define monomials, binomials, and trinomials. Classify the following into monomials, binomials and trinomials: [4 MARKS]

(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}

Question 5

Define monomials, binomials, and trinomials. Classify the following into monomials, binomials and trinomials:

$(i) 4 y - 7 x$
$(i i) y^{2}$
$(i i i) x + y - x y$
$(i v) 100$
$(v) a b - a - b$
$(v i) (5 - 3 t)$
$(v i i) 4 p^{2} q - 4 p q^{2}$
$(v i i i) 7 m n$
$(i x) z^{2} - 3 z + 8$
$(x) a^{2} + b^{2}$
$(x i) z^{2} + z$
$(x i i) 1 + x + x^{2}$

Classify the following into monomial, binomial and trinomial expression.

(a) 5abc

(b) x − y + z

(d) ab × d

(e) 5x + 1

(f) 6m + 7n − 10

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

Q. Classify the following expressions as monomials, binomials or trinomials.

(1) x² − 2x + 3
(2) 8y
(3) 2a³ − 5
(4) 3 − 11b
(5) 17m⁴
(6) 6n² − n + 5
(7) 35 + x³ − 7x
(8) 51
(9) 13 − 8y³
(10) 1 − 4p² + 12p

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Classify the following expression into monomial, binomial or trinomial: (i) 5−3t (ii) 1+x+x2 (iii) y2 (iv) z2−3z+8

(i) 5−3t It has 2 terms, So it is a binomial. (ii) 1+x+x2 it has 3 terms. So, it is a trinomial (iii) y2 It has one term. So, it is a monomial. (iv) z2−3z+8 It has 3 terms. So, it is a trinomial

Classify the following expression into monomial, binomial or trinomial:
(i) $5 - 3 t$
(ii) $1 + x + x^{2}$
(iii) $y^{2}$
(iv) $z^{2} - 3 z + 8$

(i) $5 - 3 t$
It has 2 terms, So it is a binomial.
(ii) $1 + x + x^{2}$
it has 3 terms. So, it is a trinomial
(iii) $y^{2}$
It has one term. So, it is a monomial.
(iv) $z^{2} - 3 z + 8$
It has 3 terms. So, it is a trinomial