Question

Factorize:3x^{2} +4x-15

Answer 1

Answer:

(3x - 5) (x + 3)

Step-by-step explanation:

Multiply the coefficient of the first term by the constant:

3 x -15 = -45

Find two factors of -45 that equals 4:

-5 + 9 = 4

Rewrite the polynomial splitting 4 using -5 and 9:

3x2 - 5x + 9x - 15

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

x • (3x-5)

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

3 • (3x-5)

Add everything up:

Answer

(x+3) (3x-5)