Question

What is the correct factored form of x2 + 3x − 10?

Answer 1

Answer:

(x + 5)(x - 2)

Step-by-step explanation:

To factorise the quadratic

Consider the factors of the constant term (- 10) which sum to give the coefficient of the x- term (+ 3)

The factors are + 5 and - 2, since

5 × - 2 = - 10 and 5 - 2 = + 3, thus

x² + 3x - 10 = (x + 5)(x - 2)

Answer 2

Answer:

(x+5)(x-2)

Step-by-step explanation:

To convert a quadratic equation into factored form, you need to go element by element with the given equation: x²+3x-10.

x²: you know you get that by multiplying x by x, so you start with (x±A)(X±B).

3x-10: two numbers when being added, you get 3 and when multiplying you get -10, those numbers are 5 and -2, so (x+5)(X-2).