Question

13. What are the x-intercepts of
y = 2x2 + 6x - 20?

Answer 1

x = -5, 2

Explanation:

The first step to factor the equation is removing any factors/like terms that all of the variables share.

In the equation
`y = 2x^2+6x-20`, all numbers are multiples of 2, therefore you can factor out 2 from to equation

`y = 2((2x^2)/(2) + (6x)/(2) -(20)/(2))`

`y = 2(x^2+3x-10)`

Next, you can factor the equation in the parenthesis. Since x^2 is not multiplied by anything, you know that the factors of x^2 must be x and x. Therefore, the two factors of -10 must add up to 3. The only two factors of -10/x that add up to 3 are 5 * -2.

The factors of the equation are then (2)(x+5)(x-2)

Lastly, set up only the factors containing a x to 0 in order to solve for x-intercept.

x+5 = 0; x= 0-5 ; x = -5

x - 2 = 0; x = 0 + 2; x = 2