Classify the following polynomials as monomials, binomials, trinomials. Which polynomials 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

Open in App

Solution

The given expressions are 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 not fit in any of these categories are

x + x² + x³ + x⁴, ab + bc + cd + da

Suggest Corrections

Similar questions

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

Join BYJU'S Learning Program

Classify the following polynomials as monomials, binomials, trinomials. Which polynomials 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

The given expressions are 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 not fit in any of these categories are x + x2 + x3 + x4, ab + bc + cd + da

Classify the following polynomials as monomials, binomials, trinomials. Which polynomials 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

The given expressions are 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 not fit in any of these categories are

x + x² + x³ + x⁴, ab + bc + cd + da