How many trinomials are there?
(i) $4 y - 7 z$
(ii) $x + y - x y$
(iii) $7 m n$
(iv) $z^{2} - 3 z + 8$
(v) $1 + x + x^{2}$

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Solution

The correct option is B 3
Trinomial means an algebraic expression of three terms.
(i) $4 y - 7 z$ has only two terms
(ii) $x + y - x y$ has three terms
(iii) $7 m n$ has one term
(iv) $z^{2} - 3 z + 8$ has three terms
(v) $1 + x + x^{2}$ has three terms
Therefore, there are $3$ algebraic expressions which are trinomial.

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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

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}

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

Question 5

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

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

Q. Using matrices, solve the following system of equations:

3 x + 4 y + 7 z = 4, 2 x - y + 3 z = - 3; x + 2 y - 3 z = 8

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How many trinomials are there?(i) 4y−7z(ii) x+y−xy(iii) 7mn(iv) z2−3z+8(v) 1+x+x2

The correct option is B 3Trinomial means an algebraic expression of three terms.(i) 4y−7z has only two terms(ii) x+y−xy has three terms(iii) 7mn has one term(iv) z2−3z+8 has three terms(v) 1+x+x2 has three termsTherefore, there are 3 algebraic expressions which are trinomial.

How many trinomials are there?
(i) $4 y - 7 z$
(ii) $x + y - x y$
(iii) $7 m n$
(iv) $z^{2} - 3 z + 8$
(v) $1 + x + x^{2}$