Write an equation for a quadratic function that has x intercepts (-3, 0) and (5, 0)

One possible equation is , which is equivalent to .

Step-by-step explanation:

The factor theorem states that if  (where is a constant) is a root of a function, would be a factor of that function.

The question states that and are -intercepts of this function. In other words, and would both set the value of this quadratic function to . Thus, and would be two roots of this function.

By the factor theorem, and would be two factors of this function.

Because the function in this question is quadratic, and would be the only two factors of this function. In other words, for some constant ():

.

Simplify to obtain:

.

Expand this expression to obtain:

.

(Quadratic functions are polynomials of degree two. If this function has any factor other than and , expanding the expression would give a polynomial of degree at least three- not quadratic.)

Every non-zero value of corresponds to a distinct quadratic function with -intercepts and . For example, with :

, or equivalently,

.

the cat is blue because the probability of extension towards the prefix of the diameter of the circle could only mathematically equal to the sum of the roots of the carrots from   your garden.

step-by-step explanation:

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: