Precalculus aid » Polynomial functions » Graphs that Polynomial features » write the Equation of a Polynomial duty Based ~ above Its Graph

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.

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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, . .

Method 2:

Use the kind , whereby is the vertex. is , therefore , .     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 is  multiply 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.

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The an initial factor is or equivalently multiply both political parties by 5: The second and third factors space and also Multiply:   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 is  multiply both sides by 3 the 2nd factor is  the third factor is Multiply the 3 factors:   Tarleton State University, Bachelor of Science, Psychology. Maharishi university of Management, master in service Administr...
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