How is a perfect square trinomial similar to a perfect square number? Is it possible to have a perfect square binomial? Explain.

Mathematics

1 answer:

Solnce55 [7]2 years ago

8 0

Yes, it is possible to have a perfect square binomial. The detailed information is given below.

<h3>What is the perfect square binomial to trinomial?</h3>

In trinomial, there are three terms and in binomial, there are two terms.

Let the perfect square of the binomial will be given as

⇒ (a + b)²

There are only two terms a and b and has a square on it. So the expression (a + b)² is a perfect square binomial.

Open the bracket, then we have

(a + b)² = a² + b² + 2ab

There are only three terms a², 2ab and b² and derived from a perfect binomial square. So the expression a² + b² + 2ab is a perfect square trinomial.

More about the perfect square binomial to trinomial link is given below.

brainly.com/question/14396504

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Step-by-step explanation:

(3x^2+3)+(3x^2+x+4)

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Using the median concept, it is found that the interquartile range of Sara's daily miles is of 21 miles.

<h3>What are the median and the quartiles of a data-set?</h3>

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.

The first quartile is the median of the first half of the data-set.

The third quartile is the median of the second half of the data-set.

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The ordered data-set is given as follows:

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The second half is 91, 93, 97.

Since the quartiles are the medians of each half, the have that:

The first quartile is of 72 miles.

The third quartile is of 93 miles.

The interquartile range is of 93 - 72 = 21 miles.

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