Find the sum: (3x^2+2x+3) + (x^2+x+1)

4x2 + 3x + 4

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant 4 • 4 = 16

Step-2 : Find two factors of 16 whose sum equals the coefficient of the middle term, which is 3.

-16+-1=-17

-8+-2=-10

-4+-4=-8

-2+-8=-10

-1+-16=-17

1+16=17

2+8=10

4+4=8

8+2=10

16+1=17

Final result:

4x2 + 3x + 4