Question

Please answer below :-)

Answer 1

Answer:

(x+3)(x+2)

Step-by-step explanation:

The numbers 2 and 3 add to 5 and multiply to 6. Therefore when you put them in a factor box, you will end up with $x^2+5x+6$

Answer 2

Answer : (x+3) (x+2) :

Step-1 : Multiply the coefficient of the first term by the constant 1 • 6 = 6

Step-2 : Find two factors of 6 whose sum equals the coefficient of the middle term, which is 5 .

-6 + -1 = -7
-3 + -2 = -5
-2 + -3 = -5
-1 + -6 = -7
1 + 6 = 7
2 + 3 = 5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 2 and 3
x2 + 2x + 3x + 6

Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x+2)
Add up the last 2 terms, pulling out common factors :
3 • (x+2)
Step-5 : Add up the four terms of step
(x+3) (x+2)