Question

3x²+4x-15 factories it please​

Answer 1

Answer:

[Given 3x^2 - 4x - 15]

 -  3x^2 + 5x - 9x - 15

-  x(3x + 5) - 3(3x + 5)

-   (3x + 5)(x - 3).

[Hope this Helpful.]

Answer 2

Answer:

The first term is, 3x2 its coefficient is 3 .

The middle term is, -4x its coefficient is -4 .

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

Step-1 : Multiply the coefficient of the first term by the constant 3 • -15 = -45

Step-2 : Find two factors of -45 whose sum equals the coefficient of the middle term, which is -4 .

-45 + 1 = -44

-15 + 3 = -12

-9 + 5 = -4 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 5

3x2 - 9x + 5x - 15

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

3x • (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 :

(3x+5) • (x-3)

Which is the desired factorization