give an example of each monomial,binomial,and quadratic polynomial
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=>Monomial - An algebraic expression which contains only one term is known as Monomial
Or we can also say that:
An expression which contains any number of like terms is known as Monomial
Example : 2x, 3x2, 4t, 9p, 9pq, 21x2y all are monomial because all contains only one term.
Example : 2x + 3x + 4x this is also a monomial because all are like terms.
On adding these like terms we get 9x.
And since 9x have only one term, so its called as monomial.
=> Binomial - An algebraic expression which contains two unlike terms is known as Binomial
Example : 2x + 3x2 is a Binomial, because it contains two unlike terms i.e. 2x and 3x2
Example : 9pq + 11p2q is a Binomial, because it contains two unlike terms i.e. 9pq and 11p2q
=> Quadratic Polynomial - In algebra, a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic, is a polynomial function in one or more variables in which the highest-degree term is of the second degree. For example, a quadratic function in three variables x, y, and z contains exclusively terms x2, y2, z2, xy, xz, yz, x, y, z, and a constant:
Eg. 4x^2 - 13y + 6 = 0
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Thanks :D
Here is your answer
=>Monomial - An algebraic expression which contains only one term is known as Monomial
Or we can also say that:
An expression which contains any number of like terms is known as Monomial
Example : 2x, 3x2, 4t, 9p, 9pq, 21x2y all are monomial because all contains only one term.
Example : 2x + 3x + 4x this is also a monomial because all are like terms.
On adding these like terms we get 9x.
And since 9x have only one term, so its called as monomial.
=> Binomial - An algebraic expression which contains two unlike terms is known as Binomial
Example : 2x + 3x2 is a Binomial, because it contains two unlike terms i.e. 2x and 3x2
Example : 9pq + 11p2q is a Binomial, because it contains two unlike terms i.e. 9pq and 11p2q
=> Quadratic Polynomial - In algebra, a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic, is a polynomial function in one or more variables in which the highest-degree term is of the second degree. For example, a quadratic function in three variables x, y, and z contains exclusively terms x2, y2, z2, xy, xz, yz, x, y, z, and a constant:
Eg. 4x^2 - 13y + 6 = 0
Hoping it helps
Thanks :D
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