Question

$p\left(x\right)=\frac{2}{3}x-\frac{7}{10}$ is a __________.

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

Answer 1

The correct option is A linear polynomial

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 $1$.

Similarly the polynomial $p\left(x\right)=\frac{2}{3}x-\frac{7}{10}$ has degree $1$.

Hence, the polynomial $p\left(x\right)=\frac{2}{3}x-\frac{7}{10}$ is a linear polynomial.