Question

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)

Answer 1

Answer:

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

Step-by-step explanation:

The given quadratic trinomial is;

$5x^2+17x+6$

Comparing this to $ax^2+bx+c$, we have a=5,b=17,c=6.

$ac=5\times6=30$

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

We split the middle term to obtain;

$5x^2+15x+2x+6$

We factor by grouping;

$5x(x+3)+2(x+3)$

Factor further

$(x+3)(5x+2)$

The correct answer is B.

Answer 2

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.