Question

factor: 2xsquared-7x-15

Answer 1

[AI-generated answer — Bot GPT 3.5]

To factor the quadratic expression 2x^2 - 7x - 15, we need to find two binomials that, when multiplied together, result in the given quadratic expression.

The first term of each binomial will be the square root of 2x^2, which is √2x. The last terms of each binomial will be the factors of -15 (the product of the constant term and the leading coefficient), which are -3 and 5.

Next, we need to find two numbers that, when multiplied together, result in the middle term of the quadratic expression (-7x). The numbers that satisfy this condition are -3 and -5, since (-3) * (-5) = 15 and (-3) + (-5) = -8.

Therefore, the factored form of 2x^2 - 7x - 15 is:

(2x + 3)(x - 5)