Question

What is the factored form of x2 – 3x - 10? *

-
(x + 5)(x - 2)
(x - 5)(x + 2)
1
(x - 5)(x - 2)
-
Cannot be factored

Answer 1

`{x}^(2) - 3x - 10`

`{x}^(2) + 2x - 5x - 10`

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

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

Answer 2

(x -5)(x +2)

Explanation:

x² - 3x - 10

Sum = - 3

Product = -10

Factors = -5 , 2 {-5 +2 = -3 & (-5)*2 = -10}

x² - 5x + 2x - 10 = x(x -5 ) + 2(x - 5)

= (x - 5)(x + 2)