Question

What are the zeros of the quadratic function? f(x)=2x^2+10x−12 Enter your answers in the boxes.

Answer 1

In order to get the zeros of a function, you factor the given equation. First, because all the terms are divisible by two, you can simplify the equation to f(x)=x^2+5x-6. From here the equation can be factored to fx=(x+6)(x-1). Because you want the zeros of the equation you set both (x+6) and (x-1) equal to zero and solve. x+6=0 subtracting five x=-6 and x-1=0 adding one x=1. Final answer x=-6 and x=1.

Answer 2

The zeros of the function are -6 and 1

Explanation:

First simplify the function by dividing everything by 2 to get this:

x^2 + 5x - 6

Then you figure out what factors of 6 add to equal 5

Since 6 is negative one of the factors will be negative and since 5 is positive, the biggest factor will be positive.

(x + 6) (x - 1) = 0

x = -6 or x = 1

So there for, the factors are -6 and 1