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Question

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

4x2-3x+7


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Solution

Check if 4x2-3x+7 is a polynomial in one variable.

A polynomial is an expression of the form p(x)=anxn+an-1xn-1+...+a1x+a0.

The expression 4x2-3x+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.


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