Question

8 x square - 19 x minus 15 is equals to zero​

Answer 1

Answer:

The first term is, 8x2 its coefficient is 8 .

The middle term is, -19x its coefficient is -19 .

The last term, "the constant", is -15

Step-1 : Multiply the coefficient of the first term by the constant 8 • -15 = -120

Step-2 : Find two factors of -120 whose sum equals the coefficient of the middle term, which is -19 .

-120 + 1 = -119

-60 + 2 = -58

-40 + 3 = -37

-30 + 4 = -26

-24 + 5 = -19 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -24 and 5

8x2 - 24x + 5x - 15

Step-4 : Add up the first 2 terms, pulling out like factors :

8x • (x-3)

Add up the last 2 terms, pulling out common factors :

5 • (x-3)

Step-5 : Add up the four terms of step 4 :

(8x+5) • (x-3)

Which is the desired factorization

Equation at the end of step

2

:

(x - 3) • (8x + 5) = 0

STEP

3

:

Theory - Roots of a product

Answer 2

Step-by-step explanation:

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