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Types of Polynomials

Which among t...

Question

Which among the following is a binomial?

x^{2} - x + 1

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2 x^{2}

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x^{3} + 1

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x^{4} + x^{2} - 2

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Solution

The correct option is C $x^{3} + 1$
A binomial is a polynomial with 2 terms. In this case, the only polynomial with 2 terms is $x^{3} + 1$ .

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x^{3} + x^{2} + x + 1

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Determine which of the following polynomials has (x + 1) a factor:

(i) x³ + x² + x + 1 (ii) x⁴ + x³ + x² + x + 1

(iii) x⁴ + 3x³ + 3x² + x + 1 (iv)

x^{3} + x^{2} + x + 1

x^{4} + x^{3} + x^{2} + x + 1

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x^{3} + x^{2} + x + 1

x^{4} + x^{3} + x^{2} + x + 1

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Determine which of the following polynomials have $(x + 1)$ as a factor: [2 MARKS]
(i) $x^{3} + x^{2} + x + 1$
(ii) $x^{4} + x^{3} + x^{2} + x + 1$

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