Question

Which Of The Following Expressions Are Polynomials In One Variable And Which Are Not? State Reasons For Your Answer.

$4x^2-3x+7$

Answer 1

Check if $4x^2-3x+7$ is a polynomial in one variable.

A polynomial is an expression of the form $p\left(x\right)=a_n{x}^n+a_{n-1}{x}^{n-1}+...+a_{1}x+a_0$.

The expression $4x^2-3x+7$ has terms as the scalar multiples of different whole-number powers of $x$.

The exponents of $x$ here are $2,1and0$ which are whole numbers.

So, the expression is a polynomial in one variable, that is, $x$.