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

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

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Solution

Definition: 1 Mark
Classification: 3 Marks

Monomials: An expression with only one term is called monomial.
Binomial: An expression with two, unlike terms, is called a binomial.
Trinomial: An expression with three, unlike terms, is called a trinomial.

$\begin{matrix} S . N O & E x p r e s s i o n & T y p e o f P o l y n o m i a l (i) & 4 y - 7 z & B i n o m i a l (i i) & y^{2} & M o n o m i a l (i i i) & x + y - x y & T r i n o m i a l (i v) & 100 & M o n o m i a l (v) & a b - a - b & T r i n o m i a l (v i) & 5 - 3 t & B i n o m i a l (v i i) & 4 p^{2} q - 4 p q^{2} & B i n o m i a l (v i i i) & 7 m n & M o n o m i a l (i x) & z^{2} - 3 z + 8 & T r i n o m i a l (x) & a^{2} + b^{2} & B i n o m i a l (x i) & z^{2} + z & B i n o m i a l (x i i) & 1 + x + x^{2} & T r i n o m i a l \end{matrix}$

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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 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 expression into monomial, binomial or trinomial:
(i)

5 - 3 t

(ii)

1 + x + x^{2}

(iii)

y^{2}

(iv)

z^{2} - 3 z + 8

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]

Q. Identify the monomials, binomials, trinomials and quadrinomials in the following:-
(a)

x y z

(b)

x y + y z + z x

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Define monomials, binomials, and trinomials. Classify the following into monomials, binomials and trinomials: [4 MARKS] (i) 4y−7x (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