Answer:
Step-by-step explanation:
x² + 3x + 4x + 12 =x(x+3) + 4(x+3)=
(x+3)(x+4)
Answer:
The factorization of [tex]x^{2}+3 x+4 x+12[/tex] is (x+4)(x+3)
Solution:
Given Data:
[tex]x^{2}+3 x+4 x+12[/tex]
To Find:
Factorise of the given data?
Step 1:
Grouping:
[tex]\left(x^{2}+3 x\right)(+4 x+12)[/tex]
Step 2:
Factoring:
Quadratic has two parts.
[tex]\left(x^{2}+3 x\right)(+4 x+12)[/tex]
We see that the first terms have an x in common, and the second terms have a 4 in common, so we can factor that out to get x(x+3)+4(x+3)
Step 3:
We now see that both terms have an x+3 in common, so we can finally factor that out to get (x+3)(x+4)
hence the factorization of [tex]x^{2}+3 x+4 x+12 is (x+4)(x+3)[/tex]
