Question

Classify the following polynomials based on their number of terms.
$\left(i\right)4x^3-3x^2+\frac{x}{4}+6$
$\left(ii\right)2\left(x^{\frac{1}{2}}\right)\sqrt{x}$
$\left(iii\right)x^2+2x-4$
$\left(iv\right)2x^2+3x$

Answer 1

$\left(i\right)4x^3-3x^2+\frac{x}{4}+6$
Number of terms in the given polynomial = 4
Hence it is a quadrinomial.

$\left(ii\right)2\left(x^{\frac{1}{2}}\right)\sqrt{x}$
Number of terms in the given polynomial = 1
Hence it is a monomial.

$\left(iii\right)x^2+2x-4$
Number of terms in the given polynomial = 3
Hence it is trinomial.

$\left(iv\right)2x^2+3x$
Number of terms in the given polynomial = 2
Hence it is binomial.