Question

15x²+27x+12 full answer for this question ​

Answer 1

Answer:

((3•5x2) - 27x) - 12

3.1 Pull out like factors :

15x^2 - 27x - 12 = 3 • (5x2 - 9x - 4)

3.2 Factoring 5x^2 - 9x - 4

The first term is, 5x^2 its coefficient is 5 .

The middle term is, -9x its coefficient is -9 .

The last term, "the constant", is -4

Step-1 : Multiply the coefficient of the first term by the constant 5 • -4 = -20

Step-2 : Find two factors of -20 whose sum equals the coefficient of the middle term, which is -9 .

-20 + 1 = -19

-10 + 2 = -8

-5 + 4 = -1

-4 + 5 = 1

-2 + 10 = 8

-1 + 20 = 19

Observation : No two such factors can be found !!

(Conclusion : Trinomial can not be factored)

Final result :

3 • (5x2 - 9x - 4)