Question

If $(14x^2+13x-15)$ is divided by $(7x-4)$, the degree of the remainder is

• A. $1$
• B. $2$
• C. $0$
• D. $3$

Answer 1

The correct option is C $0$

According to remainder theorem, when $f\left(x\right)=14x^2+13x-15$ is divided by $(7x-4)$,

Remainder $=f\left(\frac{4}{7}\right)$

Now,

$f\left(x\right)=14x^2+13x-15$

$f\left(\frac{4}{7}\right)=14\times (\frac{4}{7}{)}^2+13\times \frac{4}{7}-15=-3$

Remainder $=-3$

$\therefore$ the degree of the remainder is 0 as the variable $x$ is absent.