Which could be the equation because that this graph?

Explanation:

This graph has zeros at 3, -2, and also -4.5. This method that

, , and . That last root is much easier to work with if we think about it together and also simplify it come . Also, this is a negative polynomial, due to the fact that it is decreasing, increasing, decreasing and not the other way around.You are watching: Write an equation for the polynomial graphed below

Our equation outcomes from multiply

, which results in .Explanation:

Because there space no x-intercepts, use the type

, wherein vertex is , for this reason , , which gives

Explanation:

Method 1:

The x-intercepts are

. These worths would be obtained if the initial quadratic to be factored, or reverse-FOILed and also the factors were collection equal to zero.For

, . Because that , . This equations determine the result factors and also the resulting function; .Multiplying the factors and also simplifying,

.Answer:

.

Method 2:

Use the kind

, whereby is the vertex. is , therefore , .Answer:

Explanation:

The zeros because that this polynomial are

.This way that the factors are same to zero once these values room plugged in for x.

main point both political parties by 2 for this reason one factor ismultiply both political parties by 3 therefore one aspect is

for this reason one element is

Multiply these three factors:

Explanation:

The zeros the this polynomial are

. This method that the factors equal zero when these values are plugged in.One variable is

One factor is

The 3rd factor is identical to

. Set equal to 0 and also multiply through 2:Multiply these 3 factors:

The graph is negative since that goes under then up then down, so we have to switch every one of the signs:

Explanation:

The zeros that the polynomial room

. That way that the factors equal zero once these values space plugged in.See more: Scoop B Selects: Too Short You Came To Party, Too Short & Meter Mobb

The an initial factor is

or equivalently multiply both political parties by 5:The second and third factors space

and alsoMultiply:

Because the graph goes down-up-down rather of the typical up-down-up, the graph is negative, so change all that the signs:

Explanation:

The zeros because that this polynomial are

. That method that the determinants are same to zero once these values space plugged in. or equivalently multiply both political parties by 4 the an initial factor ismultiply both sides by 3 the 2nd factor is

the third factor is

Multiply the 3 factors:

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