Classify the following polynomials as monomials, binomials, trinomials

1.	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+x4 (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
Answer» Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any category? $(i) x + y$ $(i i) 1000$ $(i i i) x + x^{2} + x^{3} + x^{4}$ $(i v) 7 + a + 5 b$ $(v) 2 b - 3 b^{2}$ $(v i) 2 y - 3 y^{2} + 4 y^{3}$ $(v i i) 5 x - 4 y + 3 x$ $(v i i i) 4 a - 15 a^{2}$ $(i x) x y + y z + z t + t x$ $(x) p q r$ $(x i) p^{2} q + p q^{2}$ $(x i i) 2 p + 2 q$

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+x4 (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

Answer»

Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any category?

$(i) x + y$ $(i i) 1000$ $(i i i) x + x^{2} + x^{3} + x^{4}$

$(i v) 7 + a + 5 b$ $(v) 2 b - 3 b^{2}$ $(v i) 2 y - 3 y^{2} + 4 y^{3}$

$(v i i) 5 x - 4 y + 3 x$ $(v i i i) 4 a - 15 a^{2}$ $(i x) x y + y z + z t + t x$

$(x) p q r$ $(x i) p^{2} q + p q^{2}$ $(x i i) 2 p + 2 q$