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

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Solution

Monomials :
$1000, p q r$

Binomials :
$x + y, 2 y - 3 y^{2}, 4 z - 15 z^{2}, p^{2} q + p q^{2}, 2 p + 2 q$

Trinomials :
$7 + y + 5 x, 2 y - y^{2} + 4 y^{3}, 5 x - 4 y + 3 x y$

Polynomials that do not fit in any of these categories are :
$x + x^{2} + x^{3} + x^{4}, a b + b c + c d + d a$

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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:
$x + y, 1000, x + x^{2} + x^{3} + x^{4}, 7 + y + 5 x, 2 y - 3 y^{2},$ $2 y - 3 y^{2} + 4 y^{3}, 5 x - 4 y + 3 x y, 4 z - 15 z^{2},$
$a b + b c + c d + d a, p q r, p^{2} q + p q^{2}, 2 p + 2 q$

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 following polynomials as monomials, binomials, and trinomials. Which polynomial do not 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

Monomials : 1000, pqrBinomials : x+y, 2y−3y2, 4z−15z2, p2q+pq2, 2p+2qTrinomials : 7+y+5x, 2y−y2+4y3, 5x−4y+3xyPolynomials that do not fit in any of these categories are :x+x2+x3+x4, ab+bc+cd+da

Monomials :
$1000, p q r$

Binomials :
$x + y, 2 y - 3 y^{2}, 4 z - 15 z^{2}, p^{2} q + p q^{2}, 2 p + 2 q$

Trinomials :
$7 + y + 5 x, 2 y - y^{2} + 4 y^{3}, 5 x - 4 y + 3 x y$

Polynomials that do not fit in any of these categories are :
$x + x^{2} + x^{3} + x^{4}, a b + b c + c d + d a$