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Which one doesn’t belong? Why? Explain.

Which one doesn’t belong? Why? Explain.-example-1
User Finx
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1 Answer

3 votes

Answer:

(x - 2)(x + 2)

Explanation:

(x - 2)(x + 2) = x² - (2)² [Since (a - b)(a + b) = a² - b²]

= x² - 4

There are two terms in this expression. Therefore, the give term is a binomial.

(2x - 1)(x + 4) = 2x(x + 4) - 1(x + 4) [Distributive property]

= 2x² + 8x - x - 4

= 2x² + 7x - 4

There are three terms in this polynomial. Therefore, the given polynomial is a trinomial.

(x + 4)(x + 1) = x(x + 1) + 4(x + 1)

= x² + x + 4x + 4

= x² + 5x + 4

This polynomial is having 3 terms therefore, it's a trinomial.

(m - 4)(m + 1) = m(m + 1) - 4(m + 1)

= m² + m - 4m - 4

= m² - 3m - 4

Therefore, this polynomial is a trinomial.

Since (x - 2)(x + 2) is a binomial, so this expression doesn't belong to this group.

User Dzienny
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5.6k points
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