Question

Factor the expression. x2 + 8x+ 16 x² + 3x+ 16 =

Answer 1

Answer: 17x^2 + 11x + 16

Step-by-step explanation:

The first term is,  17x^2  its coefficient is  17 .

The middle term is,  +11x  its coefficient is  11 .

The last term, "the constant", is  +16  

Step-1 : Multiply the coefficient of the first term by the constant   17 • 16 = 272  

Step-2 : Find two factors of  272  whose sum equals the coefficient of the middle term, which is   11 .

     -272    +    -1    =    -273  

     -136    +    -2    =    -138  

     -68    +    -4    =    -72  

     -34    +    -8    =    -42  

     -17    +    -16    =    -33  

     -16    +    -17    =    -33