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3 years ago

Describe polynomial and its type with examples

Mathematics

2 answers:

KonstantinChe [14]3 years ago

8 0

Answer:

In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. An example of a polynomial of a single indeterminate, x, is x^2 − 4x + 7.

Maslowich3 years ago

6 0

<h2>Polynomial</h2>

An algebraic expression is of the form of a0+a1x+a2x^2+anx^n,where n is positive integer and the coefficients a0,a1,A2...an are constants with a n is not equal to 0 is called a polynomial of degree.A polynomial in X is denoted by p(X),q(X),g(X).

<h2>Types of Polynomial:</h2>

Monomial

A monomial is an expression which contains only one term.For example: 5x

Binomial

 A binomial is a polynomial expression which contains exactly two terms.For example:2a+3b

Trinomial

A trinomial is an expression which is composed of exactly three terms.For example:2x^2+4x+4

<h2>Hope it helps</h2>

Good luck on your assignment...

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3 years ago

2 times the quotient of a number and 8

mote1985 [20]

Answer:

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2 years ago

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The sum of the three numbers is 180. The first number is 10 more than the mean of the three numbers and the second number is 4 l

4vir4ik [10]

Answer:

The third number (c) is 54.

The other ones are 70 and 56.

Step-by-step explanation:

We have 3 numbers, let's call them a, b and c.

We know that the sum of the three numbers is 180, thus:

$a+b+c=180$

We also know that the first number is 10 more than the mean of the three numbers (Note: the mean is the sum of the numbers divided by the number of numbers). Thus:

$a=\frac{a+b+c}{3} +10\\a=\frac{a+b+c+30}{3} \\3a=a+b+c+30\\2a=b+c+30$

Finally the second number is 4 less than the mean:

$b=\frac{a+b+c}{3}-4\\b=\frac{a+b+c-12}{3} \\3b=a+b+c-12\\2b=a+c-12$

Now we have our set of equations and we can proceed to solve them:

$a+b+c=180\\2a=b+c+30\\2b=a+c-12$

Solving for a in our first equation we have: $a=180-b-c$ and substituting this in our second equation we have:

$2a=b+c+30\\2(180-b-c)=b+c+30\\360-2b-2c=b+c+30\\330=3b+3c\\110=b+c$

Now taking this last result into our first equation we have:

$a+b+c=180\\a+(b+c)=180\\a+110=180\\a=70$

Now we are going to solve for b in our second equation and substitute this in our third equation: $b= 180-a-c$

$2b=a+c-12\\2(180-a-c)=a+c-12\\360-2a-2c=a+c-12\\372=3a+3c\\124=a+c$

But we know that a =70, so we can substitute it in our last line:

$124=a+c\\124=70+c\\54=c$

Now we just need to find b and we can use our first original equation to do this:

$a+b+c=180\\70+b+54=180\\124+b=180\\b=180-124\\b=56$

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3 years ago

Which of the following is the additive inverse of -3

liberstina [14]

So -3 is -(-3) and the opposite of -3 is 3.
so 3 is your anwser.

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4 years ago

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The minimum of a parabola is located at (-1,-3). the point (0,1) is also on the graph. which equation can be solved to determine

mario62 [17]

Answer:

The equation that can be used to solve for a is 1 = a(0=1)²-3.

Explanation:

In this case, I would model the parabola in vertex form. Vertex form is y = a(x-h)²+k, where (h,k) is the vertex of the parabola. Using the information from the question, we can plug in values to get 1 = a(0+1)²-3. (This could be simplified as 1 = a(1)²-3 ⇒ 1 = a-3 ⇒ a = 4, but we are only interested in finding the equation that can solve for a.)

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