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The equation x2+7x+6=0 x^2+ 7x + 6 = 0x2+7x+6=0​ can be written as:
Question

The equation x2+7x+6=0 x^2+ 7x + 6 = 0​ can be written as:

A.

(x – 1)(x – 6) = 0

B.

(x + 1)(x + 6) = 0

C.

(x – 1)(x + 6) = 0

D.

(x + 1)(x – 6) = 0

Correct option is B

Given:  

x2+7x+6=0 x^2 + 7x + 6 = 0  

Solution:

x2+7x+6=0x2+(6+1)x+6=0x2+6x+x+6=0x(x+6)+1(x+6)=0(x+6)(x+1)=0 x^2 + 7x + 6 = 0 \\x^2 + (6+1)x + 6 = 0 \\x^2 + 6x +x + 6 = 0 \\x (x +6)+1(x+6) = 0 \\(x+6)(x+1) = 0

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