Question

Factor

144x2 + 312x + 169.

A) (12x + 13)
B) (12x + 13)(12x - 13)
C) (12x - 13)2
D) (12x + 13)2

Answer 1

(12x+13)2 hope this helps

Answer 2

Answer: D)
`(12x+13)^2`

Explanation:

The given polynomial :
`144x^2 + 312x + 169`

We can write the above expression as :

`(12x)^2+2(12x)(11)+(13)^2`

Using identity
`a^2+2ab+b^2=(a+b)^2`, we have a= 12x , b=11

`\Rightarrow\ (12x)^2+2(12x)(11)+(13)^2=(12x+13)^2`

Hence, factors of the given polynomial will be
`(12x+13)^2`.

Thus , the correct answer is option (D).