Question

$p\left(x\right)=7x^2-9$ is a ________ polynomial

• A. quadratic
• B. linear
• C. constant
• D. cubic

Answer 1

The correct option is A quadratic

The general form of quadratic polynomial is $p\left(x\right)=a{x}^2+bx+c$ where $x$ is a variable and $a,b,c$ are constants. The first term of this polynomial has power $2$ and the second term of this polynomial has power $1$ and therefore, the degree of the polynomial is the largest exponent that is $2$.

Similarly, the polynomial $p\left(x\right)=7x^2-9$ has degree $2$.

Hence, the polynomial $p\left(x\right)=7x^2-9$ is a quadratic polynomial.