Question

Factorise the expression & divide as directed (x² +9x+14) ÷(x+7)​

Answer 1

Answer:

x

2

−9x+14

x

2

−7x−2x+14

x(x−7)−2(x−7)

(x−2)(x−7)

Answer 2

Answer:

Solution :-

★ (x² + 9x + 14) ÷ (x + 7)

➞ (x² + 9x + 14) / (x + 7)

➞ {x² + (7 + 2)x + 14} / (x + 7)

➞ {x² + 7x + 2x + 14} / (x + 7)

➞ {x(x + 7) + 2(x + 7)} / (x + 7)

➞ (x + 7) (x + 2) / (x + 7)

Afte cancellation, we get

➞ (x + 2)

∴ The answer of this question is (x + 2)