Question
Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any category$?$
$x + y$
$x + y$
✓
Answer
Definitions: A polynomial is monomial if it has exactly one term. It is called binomial if it has exactly two non-zero terms. A polynomial is a trinomial if it has exactly three non-zero terms.
The polynomial $x + y$ has exactly two non zero terms, i.e. $x$ and $y.$ Therefore, it is a binomial.
The polynomial $x + y$ has exactly two non zero terms, i.e. $x$ and $y.$ Therefore, it is a binomial.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Write $‘T’$ for true and $‘F’$ for false for the following:
Rational numbers are always closed under subtraction.
→Rational numbers are always closed under subtraction.
Fill in the blanks.
$x^2-18 x+81=(\_\_\_\_)$
→$x^2-18 x+81=(\_\_\_\_)$
Write of the following polynomials in the standard form. Also write their degree. $\Big(\text{a}^3-\frac{3}{8}\Big)\Big(\text{a}^3+\frac{16}{17}\Big)$
→The expression for $3^5$ with a negative exponent is _________.
→Find a single repeater machine that will do the same work as hook-up.
Find the ones digit of the cube of each of the following number :
1005
1005
Find the cube roots of the following integers:
-125
-125
Two cylinders $A$ and $B$ are formed by folding a rectangular sheet of dimensions $20\ cm × 10\ cm$ along its length and also along its breadth respectively. Then volume of $A$ is ________ of volume of $B.$
→If $A \times 3 = 1A,$ then $A =$ ________.
→Find a single repeater machine that will do the same work as hook-up.
