Respuesta :

Answer:

B. [tex](x+3)(5x+2)[/tex]

Step-by-step explanation:

The given quadratic trinomial is;

[tex]5x^2+17x+6[/tex]

Comparing this to [tex]ax^2+bx+c[/tex], we have a=5,b=17,c=6.

[tex]ac=5\times6=30[/tex]

Two factors of 30 that add up to 17 is 15  and 2.

We split the middle term to obtain;

[tex]5x^2+15x+2x+6[/tex]

We factor by grouping;

[tex]5x(x+3)+2(x+3)[/tex]

Factor further

[tex](x+3)(5x+2)[/tex]

The correct answer is B.

Answer:

B. (5x + 2)(x + 3)

Step-by-step explanation:

The given quadratic trinomial is;

Comparing this to , we have a=5,b=17,c=6.

Two factors of 30 that add up to 17 is 15  and 2.

We split the middle term to obtain;

We factor by grouping;

Factor further

The correct answer is B.