Classify the following polynomials as monomials, binomials and trinomials:
$3 x^{2}, 3 x + 2, x^{2} - 4 x + 2, x^{5} - 7, x^{2} + 3 x y + y^{2}, s^{2} + 3 s t - 2 t^{2}, x y + y z + z x, a^{2} b + b^{2} c, 2 l + 2 m$

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Solution

Monomials: $3 x^{2}$
Binomials: $3 x + 2, x^{5} - 7, a^{2} b + b^{2} c, 2 l + 2 m$ .
Trinomials: $x^{2} - 4 x + 2, x^{2} + 3 x y + y^{2}, s^{2} + 3 s t - 2 t^{2}$

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Similar questions

Q. Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any category?
(i) x + y
(ii) 1000
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(iv) 7 + a + 5b
(v) 2b − 3b²
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(vii) 5x − 4y + 3x
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Question 2
Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any of these three categories:
$x + y, 1000, x + x^{2} + x^{3} + x^{4}, 7 + y + 5 x, 2 y - 3 y^{2},$ $2 y - 3 y^{2} + 4 y^{3}, 5 x - 4 y + 3 x y, 4 z - 15 z^{2},$
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Classify the following polynomials as monomials, binomials and trinomials:3x2,3x+2,x2−4x+2,x5−7,x2+3xy+y2,s2+3st−2t2,xy+yz+zx,a2b+b2c,2l+2m

Monomials: 3x2Binomials: 3x+2,x5−7,a2b+b2c,2l+2m.Trinomials: x2−4x+2,x2+3xy+y2,s2+3st−2t2

Classify the following polynomials as monomials, binomials and trinomials:
$3 x^{2}, 3 x + 2, x^{2} - 4 x + 2, x^{5} - 7, x^{2} + 3 x y + y^{2}, s^{2} + 3 s t - 2 t^{2}, x y + y z + z x, a^{2} b + b^{2} c, 2 l + 2 m$

Monomials: $3 x^{2}$
Binomials: $3 x + 2, x^{5} - 7, a^{2} b + b^{2} c, 2 l + 2 m$ .
Trinomials: $x^{2} - 4 x + 2, x^{2} + 3 x y + y^{2}, s^{2} + 3 s t - 2 t^{2}$