Classify the followingpolynomials as monomials, binomials, trinomials. Which polynomials donot 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

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Solution

The given expressionsare classified as
Monomials: 1000, pqr
Binomials: x +y, 2y − 3y², 4z −15z², p²q + pq²,2p + 2q
Trinomials: 7 + y+ 5x, 2y − 3y² + 4y³,5x − 4y + 3xy
Polynomials that do notfit in any of these categories are
x+ x²+ x³+ x⁴,ab + bc + cd + da

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Q. Classify the following polynomials as monomials, binomials, and trinomials. Which polynomial 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}, a b + b c + c d + d a, p q r, p^{2} q + p q^{2}, 2 p + 2 q

Question 2
Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any of these three categories:
$x + y, 1000, x + x^{2} + x^{3} + x^{4}, 7 + y + 5 x, 2 y - 3 y^{2},$ $2 y - 3 y^{2} + 4 y^{3}, 5 x - 4 y + 3 x y, 4 z - 15 z^{2},$
$a b + b c + c d + d a, p q r, p^{2} q + p q^{2}, 2 p + 2 q$

Question 2
Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any of these three categories:
$x + y, 1000, x + x^{2} + x^{3} + x^{4}, 7 + y + 5 x, 2 y - 3 y^{2},$ $2 y - 3 y^{2} + 4 y^{3}, 5 x - 4 y + 3 x y, 4 z - 15 z^{2},$
$a b + b c + c d + d a, p q r, p^{2} q + p q^{2}, 2 p + 2 q$

Q. Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any category?
(i) x + y
(ii) 1000
(iii) x + x² + x³ + 4y⁴
(iv) 7 + a + 5b
(v) 2b − 3b²
(vi) 2y − 3y² + 4y³
(vii) 5x − 4y + 3x
(viii) 4a − 15a²
(ix) xy + yz + zt + tx
(x) pqr
(xi) p²q + pq²
(xii) 2p + 2q

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Classify the followingpolynomials as monomials, binomials, trinomials. Which polynomials donot 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

The given expressionsare classified asMonomials: 1000, pqrBinomials: x +y, 2y − 3y2, 4z −15z2, p2q + pq2,2p + 2qTrinomials: 7 + y+ 5x, 2y − 3y2 + 4y3,5x − 4y + 3xyPolynomials that do notfit in any of these categories arex+ x2+ x3+ x4,ab + bc + cd + da

Classify the followingpolynomials as monomials, binomials, trinomials. Which polynomials donot 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

The given expressionsare classified as
Monomials: 1000, pqr
Binomials: x +y, 2y − 3y², 4z −15z², p²q + pq²,2p + 2q
Trinomials: 7 + y+ 5x, 2y − 3y² + 4y³,5x − 4y + 3xy
Polynomials that do notfit in any of these categories are
x+ x²+ x³+ x⁴,ab + bc + cd + da