Which of the following is a binomial-x-2 - x - 13x-2 - 2x-2 - x-2-x-2 - 2x-x-12x-2 - x-2 - 2x - 3 - 2

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Standard X

Mathematics

Quadratic Polynomial and Its Graphical Representation

Which of the ...

Question

Which of the following is a binomial?

x^{2} - x + 1

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3 x^{2} + 2 x^{2} - x^{2}

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(x^{2} - 2 x) x^{- 1}

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2 x^{2} + x^{2} - 2 x + 3 - 2

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Solution

The correct option is C $(x^{2} - 2 x) x^{- 1}$
A binomial is a polynomial which has only 2 terms.
$(x^{2} - x + 1)$ has 3 terms.
$(3 x^{2} + 2 x^{2} - x^{2}) = (4 x^{2})$ has 1 term.
$(x^{2} - 2 x) x^{- 1} = (x - 2)$ has 2 terms, (Binomial)
$(2 x^{2} + x^{2} - 2 x + 3 - 2) = (3 x^{2} - 2 x + 1)$ has 3 terms.

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Which of the following is a binomial?

The correct option is C (x2−2x)x−1A binomial is a polynomial which has only 2 terms. (x2−x+1) has 3 terms. (3x2+2x2−x2)=(4x2) has 1 term. (x2−2x)x−1=(x−2) has 2 terms, (Binomial) (2x2+x2−2x+3−2)=(3x2−2x+1) has 3 terms.