Question

If
$(x + 5)$
is one factor of
${x}^{2} + 11x + 30$
then the other factor is

​

Answer 1

$\sf{\pink{Question}}$

If (x + 5) is one factor of x² + 11x + 30 then the other factor is

$\sf{\green{step\ by\ step\ explaination}}$

Given That:-

(x+5) is a factor of x² + 11x + 30

$\tt{\frac{x² + 11x + 30 }{(x+5)}}$

$\tt{\frac{x² + 6x+5x + 30 }{(x+5)} \ \ \ by\ Splitting\ methods}$

$\sf{\frac{x(x+6)+5(x+6)}{(x+5)}}$

$\tt{\frac{(X+6)(x+5)}{(x+5)}}$

$\tt{\frac{(X+6)(\cancel{x+5)}}{(\cancel{x+5)}}}$

$\sf{(x+6 )}$

$\tt \green{ (x+6 ) is \ the\ another\ factor\ of\ x² + 11x + 30}$