Quadrinomials
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An algebraic expression that contains four terms is called a quadrinomial.
Introduction
The meaning of quadrinomial is defined from a prefix “Quadri” and a Latin term “Nomial”.
- The meaning of prefix “Quadri” is four.
- The meaning of “Nomial” is a term.
According to meanings of both terms, the term quadrinomial is defined as an algebraic expression with four terms. It is actually formed by four unlike algebraic terms in algebra for representing a quantity in mathematical form.
In a quadrinomial, the four unlike terms are connected by either plus or minus or combination of both signs to form an algebraic expression mathematically. A quadrinomial is also called as a polynomial of four terms and it is possibly formed in two different ways in algebraic mathematics.
Four Unlike Algebraic Terms
In some cases, the quadrinomials are formed by four unlike algebraic terms purely.
Examples
$(1) \,\,\,\,\,\,$ $a+b-c+d$
$(2) \,\,\,\,\,\,$ $xy+5yz+z+zx$
$(3) \,\,\,\,\,\,$ $p^2-q^3-0.02r^4-s^5$
$(4) \,\,\,\,\,\,$ $-m-6mn-7m^2n-10mn^2$
$(5) \,\,\,\,\,\,$ $y+\dfrac{2}{5}y^2-yz+\sqrt{2}y^3$
Three terms and a Number
The quadrinomials are also formed by a number and three terms but the three terms are unlike algebraic terms.
Examples
$(1) \,\,\,\,\,\,$ $a-bc-d+7$
$(2) \,\,\,\,\,\,$ $x+5y+3z-8$
$(3) \,\,\,\,\,\,$ $-p-pq-0.1pqr-9$
$(4) \,\,\,\,\,\,$ $-m+\dfrac{2}{5}m^2+mn^2-\sqrt{5}$
$(5) \,\,\,\,\,\,$ $u^2+\sqrt[5]{7}uv^2-u^2v-12$
