Question

What is the factored form of the function? what are the zeros of the quadratic function?

Answer 1

To find the factored form and zeros of a quadratic function, use the quadratic formula with the quadratic equation's coefficients.

Step-by-step explanation:

The factored form of a quadratic function is expressed as (ax - p)(bx - q) = 0, where p and q are the zeros of the function, also known as the roots. To find the factored form and the zeros, we can use the quadratic formula, which is x = (-b ± √(b² - 4ac))/(2a), where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0.

For the equation x² + 1.2 x 10^-2x - 6.0 × 10^-3 = 0, we would plug in the values for a, b, and c into the quadratic formula to obtain the zeros, which once found can be used to write the factored form.

Answer 2

The factored form of the equation is f(x) = (x - 2)(x + 10), which makes the zeros of the function x = -10 and x = 2.

In order to factor a quadratic like this, you must find factors of the constant (in this case -20). The pairs of factors are listed below.

1 and -20

-1 and 20

2 and -10

-2 and 10

4 and -5

-4 and 5

Now we must pick out the pair that add to the coefficient of x.

1 and -20

-1 and 20

2 and -10

-2 and 10

4 and -5

-4 and 5

Once you've picked out those numbers, you can place each in a parenthesis with x.

f(x) = (x - 2)(x + 10)

Then to find the zeros to the equation, set each parenthesis equal to 0 and solve.

x - 2 = 0

x = 2

x + 10 = 0

x = -10

Step-by-step explanation:

hope this helps:)