Quadratic function y=x^2+8x+12 .turn it in as factored form

Question

Quadratic function y=x^2+8x+12 .turn it in as factored form? And plot x on the horizontal axis.

Answer 1

Katherine,

           One way to find the factors of a quadratic equation where the coefficient of x² is 1 is to find two numbers whose product is 8 and whose sum is 12 

  

This can be done by trail and error i.e. product: 12x1 6x2 4x3 all are 12 Sum: 12+1,6+2,4+3 and only one of these combinations adds to 8 and that is 6 and 2 

 

So now we can write x²+8x+12=(x+6)(x+2) which is the first part of the answer I can not make graphs on this site.

 

The roots are -6,-2 and axis of symmetry is at x=4

 

Hope this helps

 

Jim

 

Answer 2

y=x^2+8x+12

12=2*2*3=2*(2*3)=2*6 and 6+2=8

y=(x+2)(x+6)