Respuesta :

Answer:

(x-5)(2x+3)

Step-by-step explanation:

2x²-7x-15 = 2x²-10x+3x-15 = 2x(x-5)+3(x-5) = (x-5)(2x+3)

Answer:

(x - 5)(2x + 3)

Step-by-step explanation:

To factorise the quadratic

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × - 15 = - 30 and sum = - 7

The factors are - 10 and + 3

Use these factors to split the x- term

2x² - 10x + 3x - 15 ( factor the first/second and third/fourth terms )

= 2x(x - 5) + 3(x - 5) ← factor out (x - 5) from each term

= (x - 5)(2x + 3)

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