define the following terms :rational number, irrational number, real number ,prime number, composite number, constant polynomial and
quadratic polynomial
Answers
Rational no:
which can be represented on p/q form where p and q are not equal to 0
this is called as rational no..
eg: 4/2
Irrational no:
which cannot represented on p/q form where p and q are not equal to 0
this is called as irrational no..
eg: root 5
Real no..
the no.. which can be represented on a number line
Prime no..
a no.. which only divisible by 1 and the no.. itself
eg: 5
Composite no..
A whole number that can be made by multiplying other whole numbers.
Example: 6 can be made by 2 × 3 so is a composite number.
Constant polynomial
the power is equals to 0
Quadratic polynomial
the power equals to 2
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Answer:
rational numbers
A number that can be made by dividing two integers (an integer is a number with no fractional part).
The word comes from "ratio".
Examples:
• 1/2 is a rational number
irrational number
A real number that can NOT be made by dividing two integers (an integer has no fractional part).
Example: π (the famous number "pi") is an irrational number, as it can not be made by dividing two integers.
real numbers
The type of number we normally use, such as 1, 15.82, −0.1, 3/4, etc.
Positive or negative, large or small, whole numbers or decimal numbers are all Real Numbers.
prime number
A whole number greater than 1 that can not be made by multiplying other whole numbers.
Example: 5 is a prime number. We cannot multiply 2, 3 or 4 together to make 5.
composite number
A whole number that can be made by multiplying other whole numbers.
Example: 6 can be made by 2 × 3 so is a composite number.
constant polynomial
Let R be a commutative ring with unity.
Let P∈R[x] be a polynomial in one variable over R.
Definition 1
The polynomial P is a constant polynomial if and only if its coefficients of xk are zero for k≥1.
Definition 2
The polynomial P is a constant polynomial if and only if P is either the zero polynomial or has degree 0.
Definition 3
The polynomial P is a constant polynomial if and only if it is in the image of the canonical embedding R→R[x].
quadratic polynomial
In algebra, a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic, is a polynomial function with one or more variables in which the highest-degree term is of the second degree.
Step-by-step explanation: