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Rainbow [258]
3 years ago
5

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)
Mathematics
2 answers:
zysi [14]3 years ago
5 0

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.

Nonamiya [84]3 years ago
3 0

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.

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