Question

Check whether x+3 is a factor of x3 + 2x2 – 5x – 6 or not

Answer 1

Answer:

$x + 3 = 0$

$x = - 3$

Putting the value of x :

${x}^{3} + {2x}^{2} - 5x - 6$

${( - 3)}^{3} + {2( - 3)}^{2} - 5( - 3) - 6$

$- 27 + 18 + 15 - 6$

$- 9 + 15 - 6$

$6 - 6$

$0$

As the result is coming zero so, x+3 is a factor of the equation.

Ans. Yes, x+3 is a factor of the equation.

Hope it helps.

Answer 2

$x + 3 = 0 \: ,so \: \: x = - 3$

$= {x}^{3} + {2x}^{2} - 5x - 6$

$= ( { - 3)}^{3} + 2 {( - 3)}^{2} - 5( - 3) - 6$

$= - 27 + 18 + 15 - 6$

$= - 33 + 33$

$= 0$

Yes it is a Equation