Question

$7+3x$ is a factor of $3x^3+7x$.

• A. True
• B. False

Answer 1

The correct option is B False

If $7+3x$ is a factor of $p\left(x\right)=3x^3+7x$, then, $p\left(\frac{-7}{3}\right)=0$.

Compute $p\left(\frac{-7}{3}\right)$ in the given polynomial.

$p\left(\frac{-7}{3}\right)=3{\left(-\frac{7}{3}\right)}^3+7\left(\frac{-7}{3}\right)$

$=-\frac{343}{9}-\frac{49}{3}$

$=\frac{-343-147}{9}$

$=-\frac{490}{9}$

The value of $p\left(\frac{-7}{3}\right)$is not equal to 0.

The given statement is false.