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AURORKA [14]
3 years ago
8

Determine the factors of 3x2 + 10x − 8. (Which is the right answer?)

Mathematics
1 answer:
VMariaS [17]3 years ago
4 0

ANSWER

(3x  - 2)(x + 4)

EXPLANATION

The given quadratic trinomial is

3 {x}^{2}  + 10x - 8

Comparing to the general quadratic trinomial:

a{x}^{2}  + bx  + c

We have a=1, b=10 and c=-8

ac =  3  \times  - 8 = - 24

The factors of -24 that adds up to 10 are -2 and 12.

We split the middle term to obtain;

3 {x}^{2}   + 12x   - 2x- 8

Factor;

3x(x+ 4)  -  2(x + 4)

Factor further;

(3x  - 2)(x + 4)

The last option is correct.

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