Which of the following algebraic expression has more than three terms?
Answers
Answer:
Monomial: An algebraic expression which consists of one non-zero term only is called a monomial.
Examples of monomials:
a is a monomial in one variable a.
10ab2 is a monomial in two variables a and b.
5m2n is a monomial in two variables m and n.
-7pq is a monomial in two variables p and q.
5b3c is a monomial in two variables b and c.
2b is a monomial in one variable b.
2ax/3y is a monomial in three variables a, x and y.
k2 is a monomial in one variable k.
2. Polynomial: An algebraic expression which consists of one, two or more terms is called a polynomial.
Examples of polynomials:
2a + 5b is a polynomial of two terms in two variables a and b.
3xy + 5x + 1 is a polynomial of three terms in two variables x and y.
3y4 + 2y3 + 7y2 - 9y + 3/5 is a polynomial of five terms in two variables x and y.
m + 5mn – 7m2n + nm2 + 9 is a polynomial of four terms in two variables m and n.
3 + 7x5 + 4x2 is a polynomial of three terms in one variable x.
3 + 5x2 - 4x2y + 5xy2 is a polynomial of three terms in two variables x and y.
x + 5yz – 7z + 11 is a polynomial of four terms in three variables x, y and z.
1 + 2p + 3p2 + 4p3 + 5p4 + 6p5 + 7p6 is a polynomial of seven terms in one variable p.
3. Binomial: An algebraic expression which consists of two non-zero terms is called a binomial.
Examples of binomials:
m + n is a binomial in two variables m and n.
a2 + 2b is a binomial in two variables a and b.
5x3 – 9y2 is a binomial in two variables x and y.
-11p – q2 is a binomial in two variables p and q.
b3/2 + c/3 is a binomial in two variables b and c.
5m2n2 + 1/7 is a binomial in two variables m and n.