Which of the following shows the factors of 5x2 + 17x + 6?
A.
(5x + 1)(x + 6)
B.
(5x + 2)(x + 3)
C.
(5x + 3)(x + 2)
D.
(5x + 6)(x + 1)

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)