Classify the following polynomials based on number of terms.
$(i) x^{3} - x^{2} (i i) 5 x$
$(i i i) 4 x^{4} + 2 x^{3} + 1 (i v) 4 x^{3}$
$(v) x + 2 (v i) 3 x^{2}$
$(v i i) y^{4} + 1 (v i i i) y^{20} + y^{18} + y^{2}$
$(i x) 6 (x) 2 u^{3} + u^{2} + 3$
$(x i) u^{23} - u^{4} (x i i) y$

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Solution

$5 x, 3 x^{2}, 4 x^{3}, y$ and 6 are monomials because they have only one term.
$x^{3} - x^{2}, x + 2, y^{4} + 1$ and $u^{23} u^{4}$ are binomials as they contain only two terms.
$4 x^{4} + 2 x^{3} + 1, y^{20} + y^{18} + y^{2}$ and $2 u^{3} + u^{2} + 3$ are trinomials as they contain only three terms.

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Classify the following polynomials based on number of terms. (i)x3−x2(ii)5x (iii)4x4+2x3+1(iv)4x3(v)x+2(vi)3x2(vii)y4+1(viii)y20+y18+y2(ix)6(x)2u3+u2+3(xi)u23−u4(xii)y

5x,3x2,4x3,y and 6 are monomials because they have only one term. x3−x2,x+2,y4+1 and u23u4 are binomials as they contain only two terms. 4x4+2x3+1,y20+y18+y2 and 2u3+u2+3 are trinomials as they contain only three terms.

Classify the following polynomials based on number of terms.
$(i) x^{3} - x^{2} (i i) 5 x$
$(i i i) 4 x^{4} + 2 x^{3} + 1 (i v) 4 x^{3}$
$(v) x + 2 (v i) 3 x^{2}$
$(v i i) y^{4} + 1 (v i i i) y^{20} + y^{18} + y^{2}$
$(i x) 6 (x) 2 u^{3} + u^{2} + 3$
$(x i) u^{23} - u^{4} (x i i) y$