Question

Which of the following is not a linear polynomial?

• A. $p\left(x\right)=8y^{-1}+4$
• B. $p\left(x\right)=8x+4$
• C. $p\left(y\right)=8y+4$
• D. $p\left(z\right)=8z+4$

Answer 1

The correct option is A $p\left(x\right)=8y^{-1}+4$

The general form of linear polynomial is $p\left(x\right)=ax+b$ where $x$ is a variable and $b$ is a constant. The first term of this polynomial has power $1$ and therefore, the degree of the polynomial is $1$.

But the the expression $p\left(y\right)=8y^{-1}+4$, is not a polynomial since power of $y$ is not a whole number.

Hence, the expression $p\left(x\right)=8y^{-1}+4$ is not a linear polynomial.