Respuesta :
Answer: The factors are 3 and 1
Step-by-step explanation:
We have to find two factors that will be multiplied to give 3[tex]x^{2}[/tex] and at the same time add to give 4x , these factors are 3x and x , which will replace the number in the middle, then the expression becomes
[tex]x^{2}[/tex] + 3x + x + 3
x(x+3) + 1 (x + 3)
(x+3)(x+1)
[tex]\text{Hello there!}\\\\\text{The factor of the form would be:}\,\,(x+a)(x+b)\\\\\text{When you factor the expression, you should get:}\\\\(x+3)(x+1)\\\\\text{The factor makes 4 when you add, and makes 3 when you multiply.}\\\\\text{Therefore, your factors are 3 and 1}[/tex]