Question

2x^2 - 7x – 15 factorise​

Answer 1

Answer:

$2x {}^{2} - 7x - 15 = 0 \\ 2x {}^{2} - (10x - 3x) - 15 = 0 \\ 2x {}^{2} - 10x + 3x - 15 = 0 \\ 2x(x - 5) + 3(x - 5) = 0 \\ (x - 5)(2x + 3) = \\ x = 5 \: \: and \: \frac{ - 3}{2}$

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Answer 2

hi mate,

solution:

Factoring 2x²-7x-15

2x² - 10x + 3x - 15

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

2x • (x-5)

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

3 • (x-5)

Step: Add up the four terms of step 4 :

(2x+3) • (x-5)

Which is the desired factorization

Final result :

(x - 5) • (2x + 3)