Which Of The Following Expressions Are Polynomials In One Variable And Which Are Not? State Reasons For Your Answer.
$4 x^{2} - 3 x + 7$

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Solution

Check if $4 x^{2} - 3 x + 7$ is a polynomial in one variable.
A polynomial is an expression of the form $p (x) = a_{n} x^{n} + a_{n - 1} x^{n - 1} + . . . + a_{1} x + a_{0}$ .
The expression $4 x^{2} - 3 x + 7$ has terms as the scalar multiples of different whole-number powers of $x$ .
The exponents of $x$ here are $2, 1 a n d 0$ which are whole numbers.
So, the expression is a polynomial in one variable, that is, $x$ .

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