Question

How do you factor `x^2 + 3x - 10`?

Answer 1

`(x + 5)(x - 2)`

Explanation:

`S = -3, P = -10`

Two numbers whose product is 10: (1, 10) or (2, 5).

The sign of Sum goes to that which the greater modulus.

The sign of Product (-) shows reverse signs.

`x = -10 or x = +1 \Rightarrow S = -9`

`x = -5 or x = +2`

Answer 2

Factor`y = x^2 + 3x - 10`

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

Explanation:

Y = x^2 + 3x - 10.
Find 2 numbers knowing sum (3) and product (-10).
Factor pairs of (-10) -> (-1, 10)(-2, 5). This sum is 3 = b. The 2 numbers are: -2 and 5.
y = (x - 2)(x + 5).

Answer 3

`(x + 5) (x - 2)`