Question

Divide ( x2

+ 9x + 14 ) by ( x + 7)

Answer 1

Answer:

x3+16x2+77x+98

Step-by-step explanation:

First part

X2 + 9x + 14=

x2 + 7x + 2x + 14

x (x +7) +2(x+7)

(x+2)(x+7)

Other part

(x+2)(x+7)(x+7)

x(x+7)2+2(x+7)2

x(x+7)(x+7)+2(x+7)2

x(x(x+7)+7(x+7))+2(x+7)2

x(x2+7x+49)+2(x+7)2

x3+16x2+77x+98

Hope it helps

Answer 2

Answer:

$(x + 2)$

Step by step explanation:

$\frac{{x}^{2} + 9x + 14}{(x + 7)}$

Middle term splitting :

$\frac{ {x}^{2} + 7x + 2x + 14 }{(x + 7)}$

Take the common factors out:

$\frac{x(x + 7) + 2(x + 7}{(x + 7)}$

$\frac{(x + 7)(x + 2)}{(x + 7)}$

Cancel the same terms (x+7):

Final answer:

$(x + 2)$