Question

check weather 7+3x is a factor of 3x³+7x​

Answer 1

Let us divide (3x3 + 7x) by (7 + 3x). If the remainder obtained is 0, then 7 + 3x will be a factor of 3x3 + 7x. By long division, As the remainder is not zero, therefore, 7 + 3x is not a factor of 3x3 + 7x.

Answer 2

Answer:

$7 + 3x = 0 \\ 7 = - 3x \\ x = \frac{ - 7}{ \: \: \: \: 3} \\ \\ \\ \\ p(x) = 3 { \frac{( - 7}{ \: \: \: \: 3}) }^{3} + 7( \frac{ - 7}{3} ) \\ \frac{ - 343}{ \: \: \: \: 9} - \frac{ - 49}{3} \\ \\ so \: 7 + 3x\: is \: not \: the \: correct \: factor \: of \: {3x}^{3} + 7x$