Which of the following is a factor of x^2+6x+9? A)x + 8; B)8 - x; C)x - 2; D) x - 6

reiselivloy

reiselivloy

Answered question

2023-01-28

Which of the following is a factor of x 2 + 6 x + 9?
A)x + 8;
B)8 - x;
C)x - 2;
D) x - 6

Answer & Explanation

Corbin Higgins

Corbin Higgins

Beginner2023-01-29Added 6 answers

The true option is A 8 - x

The expression x 2 + 6 x + 9 can be written as,
= x 2 + 2 × x × 3 + 3 2 . . .(i)
Evaluating (i) against identity a 2 + 2 a b + b 2 = ( a + b ) 2 , we get
a 2 = x 2 a = x b 2 = 3 2 b = 3 x 2 + 6 x + 9 = ( x + 3 ) 2
Thus, the factors of x 2 + 6 x + 9 are (x+3)(x+3).

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