Classify the following polynomials as monomials- binomials- trinomials-i- -160-pqr-2pq-5pqr -160-ii- -160-p2q -160- -160-pq2 -160-iii- -160-2p -160- -160-2q-1

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Standard VII

Mathematics

Polynomials

Classify the ...

Question

Classify the following polynomials as monomials, binomials, trinomials.
$(i) p q r + 2 p q + 5 p q r (i i) p^{2} q + p q^{2} (i i i) 2 p + 2 q + 1$

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Solution

$Hi, Since first expression has three terms but pqr + 5 pqr = 6 pqr so it will reduce to 2 pq + 6 pqr so it is binomial and second is also binomial due to two terms and third is trinomial, having three separate terms$

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

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Classify the following polynomials as monomials, binomials, trinomials. (i) pqr+2pq+5pqr (ii) p2q + pq2 (iii) 2p + 2q+1

Hi, Since first expression has three terms but pqr+5pqr =6pqrso it will reduce to 2pq+6pqrso it is binomialand second is also binomial due to two terms and third is trinomial , having three separate terms

Classify the following polynomials as monomials, binomials, trinomials.
$(i) p q r + 2 p q + 5 p q r (i i) p^{2} q + p q^{2} (i i i) 2 p + 2 q + 1$

$Hi, Since first expression has three terms but pqr + 5 pqr = 6 pqr so it will reduce to 2 pq + 6 pqr so it is binomial and second is also binomial due to two terms and third is trinomial, having three separate terms$