What is the equation of a quadratic function that has zeros -3 and 6

floymdiT

floymdiT

Answered question

2021-10-23

What is the equation of a quadratic function that has zeros -3 and 6

Answer & Explanation

unessodopunsep

unessodopunsep

Skilled2021-10-24Added 105 answers

Step 1 
Having more than one variable, a quadratic function is a polynomial function, but its highest degree is only of the second degree.
The zeros of the function are what are known as the function's roots
Step 2 
The quadratic function should be equal to zero. The function's zeros will then represent the function's roots.
Here, the zeros of the function is given as -3 and 6. 
Therefore, the roots of the quadratic function are -3 and 6. 
Step 3 
The quadratic equation can be found by starting with the equation's roots.
x=3 or x=6 
x+3=0 or x6=0 
(x+3)(x6)=0 
Step 4 
Expand the equation as follows. 
(x+3)(x6)=0 
x2+3x6x18=0 
x23x18=0 
Step 5 
Answer: 
The equation of a quadratic function that has zeros -3 and 6 is, 
x23x18=0

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