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Contact [7]
3 years ago
7

Help me find a 3rd degree binomial

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
7 0

Step-by-step explanation:

A binomial expression has two terms. For example, 4x + 5,

The degree of any polynomial refers to the term with the highest exponent on its variable. For example, In expression 4x + 5, the exponent of x is 1 so it is 1st degree polynomial and in the same way, for  since the variable y has the highest exponent i.e., 2 therefore it is 2nd degree polynomial.

Now, third degree binomial with constant term 8 =

As it has two terms where first term is  and second term is 8. Therefore, it is called binomial and since the highest exponent with variable x is 3, therefore it is third degree binomial with constant term of 8.

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_____

<em>Alternate solution</em>

The sum of ratio units is 2+3 = 5, so each one must stand for 25/5 = 5 units of length.

That is, the total of lengths on one side of the angle bisector (AC+CD) is 2·5 = 10 units, and the total of lengths on the other side (AB+BD) is 3·5 = 15 units. Since 2 of the 10 units are in the segment being divided (CD), the other 8 must be in that side of the triangle (AC).

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