Respuesta :
Answer:
B. (5x + 2)(x + 3)
Step-by-step explanation:
(5x + 2)(x + 3)
5x · x + 5x · 3 + 2 · x + 2 · 3
5x² + 15x + 2x + 6
5x² + 17x + 6
Answer:
B. (5x + 2)(x + 3)
Step-by-step explanation:
Given expression is : [tex]\[5x^{2}+17x+6\] [/tex]
This can be written as:
[tex]\[5x^{2}+15x+2x+6\] [/tex]
=> [tex]\[5x(x+3)+2(x+3)\] [/tex]
=> [tex]\[(5x+2)(x+3)\] [/tex]
So the given expression can be expressed as a factor of components,namely,
(5x+2) and (x+3)
So among the given options the correct solution is given by option B, that is, (5x + 2)(x + 3)